Izu Vaisman

Research output

Research output per year 1966 1976 1979 1981 1982 1983 1985 1986 1988 1990 1991 1996 1997 2001 2002 2003 2005 2007 2010 2011 2013 2018

• 68 Article
• 1 Chapter
• 1 Conference contribution

Research output per year

Research output per year

Search results

• 2018

  On hypersurfaces of generalized Kähler manifolds

  Vaisman, I., Feb 2018, In: Differential Geometry and its Application. 56, p. 120-141 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hypersurface 100%
  • Manifold 100%
  • Hypersurfaces 100%
  • Binormal 66%
  • Induced Structure 33%
• 2017

  Quasi-classical generalized CRF structures

  Vaisman, I., 1 Jan 2017, In: Annals of Global Analysis and Geometry. 51, 1, p. 53-71 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Quasi-classical 100%
  • Generalized F 100%
  • Spectral Sequence 100%
  • Poisson Structure 100%
  • Manifold 100%
• 2016

  A note on submanifolds and mappings in generalized complex geometry

  Vaisman, I., 1 Jun 2016, In: Monatshefte fur Mathematik. 180, 2, p. 373-390 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Generalized Complex Geometry 100%
  • Complex Geometry 100%
  • Submanifold 100%
  • Submersion 50%
  • Linear Subspace 50%
• 2015

  Generalized para-Kähler manifolds

  Vaisman, I., 1 Oct 2015, In: Differential Geometry and its Application. 42, p. 84-103 20 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Almost Complex Structure 100%
  • Almost Hermitian Structure 100%
  • Manifold 100%
  • Hermitian Structure 100%
  • 2-form 50%
• 2014

  Hessian geometry on lagrange spaces

  Vaisman, I., 2014, In: International Journal of Mathematics and Mathematical Sciences. 2014, 793473.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Lagrange Space 100%
  • Hessian Geometry 100%
  • Hessian 50%
• 2013

  Hamiltonian vector fields on almost symplectic manifolds

  Vaisman, I., 11 Sep 2013, In: Journal of Mathematical Physics. 54, 9, 092902.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hamiltonian Vector Field 100%
  • Almost Symplectic Manifolds 100%
  • Symplectic Manifold 100%
  • Vector Field 66%
  • Local Hamiltonian 66%

• Towards a double field theory on para-Hermitian manifolds

  Vaisman, I., 3 Dec 2013, In: Journal of Mathematical Physics. 54, 12, 123507.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Double Field Theory 100%
  • Para-Hermitian Manifold 100%
  • Hermitian Manifold 100%
  • Manifold 75%
  • Lagrangian 25%
• 2012

  On the geometry of double field theory

  Vaisman, I., 19 Mar 2012, In: Journal of Mathematical Physics. 53, 3, 033509.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Dirac Structures 100%
  • Double Field Theory 100%
  • Manifold 100%
  • Physicists 50%
  • Geometric Invariant 50%
• 2011

  Lie and Courant algebroids on foliated manifolds

  Vaisman, I., Dec 2011, In: Bulletin of the Brazilian Mathematical Society. 42, 4, p. 805-830 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Courant Algebroids 100%
  • Lie Algebroids 100%
  • Foliated Manifold 100%
  • Manifold 100%
  • Characteristic Class 100%
• 2010

  A construction of Courant algebroids on foliated manifolds

  Vaisman, I. Z. U., 2010, In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie. 53, 2, p. 177-183 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Courant Algebroids 100%
  • Foliated Manifold 100%
  • Manifold 100%
  • Transversals 50%
  • Transversal 33%

• Characteristic classes of Lie algebroid morphisms

  Vaisman, I., Dec 2010, In: Differential Geometry and its Application. 28, 6, p. 635-647 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Morphism 100%
  • Lie Algebroids 100%
  • Characteristic Classes 100%
  • Characteristic Class 100%
  • Modular Class 25%

• Foliated Lie and Courant Algebroids

  Vaisman, I., Dec 2010, In: Mediterranean Journal of Mathematics. 7, 4, p. 415-444 30 p.

  Research output: Contribution to journal › Article › peer-review

  • Courant Algebroids 100%
  • Lie Algebroids 100%
  • Manifold 100%
  • Foliation 75%
  • Poisson Structure 33%

• From generalized Kahler to generalized Sasakian structures

  Vaisman, I., 2010, In: Journal of Geometry and Symmetry in Physics. 18, p. 63-86 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Sasakian Structure 100%
  • Normal Contact 100%
  • Contact Manifold 100%
  • Geometric Structure 100%
  • Sasakian Manifold 100%
• 2009

  Geometric quantization of weak-Hamiltonian functions

  Vaisman, I., Jan 2009, In: Journal of Geometry and Physics. 59, 1, p. 35-49 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Geometric Quantization 100%
  • Hamiltonian Function 100%
  • Circle 100%
  • Total Space 100%
  • Geometric Structure 100%
• 2008

  Generalized CRF-structures

  Vaisman, I., Apr 2008, In: Geometriae Dedicata. 133, 1, p. 129-154 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Manifold 100%
  • Codimension 100%
  • Complex Structure 100%
  • Submanifold 100%
  • Subbundles 100%
• 2007

  Dirac structures and generalized complex structures on TM × ℝ^h

  Vaisman, I., 20 Jul 2007, In: Advances in Geometry. 7, 3, p. 453-474 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Dirac 100%
  • Generalized Complex Structure 100%
  • Dirac Structures 100%
  • Complex Structure 100%
  • Almost Contact Structure 75%

• Isotropic subbundles of TM ⊕ T*M

  Vaisman, I., May 2007, In: International Journal of Geometric Methods in Modern Physics. 4, 3, p. 487-516 30 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Neutral Metric 100%
  • Reduction Theorem 100%
  • Integrable 100%
  • Local Geometry 100%
  • Courant Bracket 100%

• Reduction and submanifolds of generalized complex manifolds

  Vaisman, I., Apr 2007, In: Differential Geometry and its Application. 25, 2, p. 147-166 20 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Generalized Complex Manifolds 100%
  • Tensor Field 100%
  • Complex Manifold 100%
  • Submanifold 100%
  • Subtangent 100%

• Weak-Hamiltonian dynamical systems

  Vaisman, I., 2007, In: Journal of Mathematical Physics. 48, 8, 082903.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hamiltonian Dynamical Systems 100%
  • Hamiltonian Systems 100%
  • Dynamical System 100%
  • Subbundles 66%
  • Energy Conservation 50%
• 2006

  Foliation-coupling Dirac structures

  Vaisman, I., Jun 2006, In: Journal of Geometry and Physics. 56, 6, p. 917-938 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Foliation 100%
  • Dirac Structures 100%
  • Poisson Structure 100%
  • Submanifold 100%
  • Manifold 66%
• 2005

  Tangent dirac structures and submanifolds

  Vaisman, I., Oct 2005, In: International Journal of Geometric Methods in Modern Physics. 2, 5, p. 759-775 17 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Dirac Structures 100%
  • Normal Bundle 100%
  • Submanifold 100%
  • Dirac 66%
  • Dirac Manifold 66%

• Transitive Courant algebroids

  Vaisman, I., 31 Jul 2005, In: International Journal of Mathematics and Mathematical Sciences. 2005, 11, p. 1737-1758 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Vector Bundle 100%
  • Metric Connection 100%
  • Whitney Sum 100%
  • Courant Algebroids 100%
  • Linear Space 50%
• 2003

  K̈ahler-Nijenhuis manifolds

  Vaisman, I., 2003, In: Balkan Journal of Geometry and its Applications. 8, 1, p. 125-131 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Nijenhuis 100%
  • Manifold 100%
  • Poisson Structure 60%
  • Non-degenerate 60%
  • Tensor Field 60%

• Lagrange geometry on tangent manifolds

  Vaisman, I., 2003, In: International Journal of Mathematics and Mathematical Sciences. 2003, 51, p. 3241-3266 26 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Lagrange Geometry 100%
  • Tangent Manifold 100%
  • Manifold 100%
  • Tangent Bundle 100%
  • Lagrangian Function 100%

• Poisson structures on tangent bundles

  Mitric, G. & Vaisman, I., Mar 2003, In: Differential Geometry and its Application. 18, 2, p. 207-228 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Poisson Structure 100%
  • Tangent Bundle 100%
  • Transversal 28%
  • Foliation 28%
  • Bivectors 28%
• 2002

  Fedosov quantization on symplectic ringed spaces

  Vaisman, I., 1 Jan 2002, In: Journal of Mathematical Physics. 43, 1, p. 283-298 16 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Symplectic 100%
  • Ringed Spaces 100%
  • Fedosov Quantization 100%
  • Poisson Structure 100%
  • Symplectic Manifold 100%

• Hamiltonian structures on foliations

  Vaisman, I., 1 Oct 2002, In: Journal of Mathematical Physics. 43, 10, p. 4966-4977 12 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Foliation 100%
  • Hamiltonian Structure 100%
  • Poisson Structure 100%
  • Manifold 100%
  • Vector Field 50%
• 2001

  Foliations with transversal quaternionic structures

  Piccinni, P. & Vaisman, I., 2001, In: Annali di Matematica Pura ed Applicata. 180, 3, p. 303-330 28 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Transversal 100%
  • Foliation 100%
  • Quaternionic Structure 100%
  • Transversals 100%
  • Integrability 50%

• Locally Lagrangian symplectic and poisson manifolds

  Vaisman, I., 2001, In: Rendiconti del Seminario Matematico. 59, 1, p. 43-58 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Symplectic Manifold 100%
  • Lagrangian 100%
  • Poisson Manifold 100%
  • France 50%
  • Poisson 50%

• Transversal Twistor Spaces of Foliations

  Vaisman, I., 2001, In: Annals of Global Analysis and Geometry. 19, 3, p. 209-234 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Transversal 100%
  • Foliation 100%
  • Twistor Space 100%
  • Transversals 100%
  • Projectable 60%
• 2000

  Nambu-Lie Groups

  Vaisman, I., 2000, In: Journal of Lie Theory. 10, 1, p. 181-194 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Lie Group 100%
  • Nambu 100%
  • Lie Algebra 33%
  • Nambu Bracket 33%
  • Nambu Structure 33%
• 1999

  Locally Lagrange-Symplectic Manifolds

  Vaisman, I., 1999, In: Geometriae Dedicata. 74, 1, p. 79-89 11 p.

  Research output: Contribution to journal › Article › peer-review

  • Lagrange 100%
  • Symplectic Form 100%
  • Symplectic Manifold 100%
  • Manifold 100%
  • Symplectic 50%
• 1998

  On the Twistor Spaces of Almost Hermitian Manifolds

  Vaisman, I., 1998, In: Annals of Global Analysis and Geometry. 16, 4, p. 335-356 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Twistor Space 100%
  • Almost Hermitian Manifold 100%
  • Almost Hermitian manifold 100%
  • Grassmannian 33%
  • Integrability 33%
• 1997

  On the behaviour of maslov classes under reduction

  Vaisman, I., 1997, In: Bollettino della Unione Matematica Italiana B. 11 B, SUPPL. 2, p. 69-78 10 p.

  Research output: Contribution to journal › Article › peer-review

• On the geometric quantization of the symplectic leaves of poisson manifolds

  Vaisman, I., Sep 1997, In: Differential Geometry and its Application. 7, 3, p. 265-275 11 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Symplectic Leaves 100%
  • Poisson Manifold 100%
  • Geometric Quantization 100%
  • Symplectic Leaf 100%
  • Manifold 33%
• 1996

  Complementary 2-forms of Poisson structures

  Vaisman, I., 1996, In: Compositio Mathematica. 101, 1, p. 55-75 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Poisson Structure 100%
  • 2-form 100%
  • Lie Algebroids 100%
  • Complementary Form 100%
  • Koszul 50%

• Reduction of Poisson-Nijenhuis manifolds

  Vaisman, I., May 1996, In: Journal of Geometry and Physics. 19, 1, p. 90-98 9 p.

  Research output: Contribution to journal › Article › peer-review

  • 2-form 100%
  • Reduction Theorem 100%
  • Poisson Reduction 100%
  • Poisson-Nijenhuis Manifolds 100%
  • Poisson-Nijenhuis Structures 100%
• 1995

  Second order Hamiltonian vector fields on tangent bundles

  Vaisman, I., Jun 1995, In: Differential Geometry and its Applications. 5, 2, p. 153-170 18 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Inverse Problem 100%
  • Hamiltonian Vector Field 100%
  • Tangent Bundle 100%
  • Direct Problem 100%
  • Poisson Structure 50%
• 1991

  Foliate partial holomorphic structures on principal bundles

  Vaisman, I., Dec 1991, In: Monatshefte fur Mathematik. 111, 4, p. 307-321 15 p.

  Research output: Contribution to journal › Article › peer-review

  • Principal Bundle 100%
  • Holomorphic Structure 100%
  • Foliates 100%
  • Lie Algebra 100%
  • Manifold 100%

• On the geometric quantization of Poisson manifolds

  Vaisman, I., 1991, In: Journal of Mathematical Physics. 32, 12, p. 3339-3345 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Poisson Manifold 100%
  • Geometric Quantization 100%
  • Adaptation 33%
  • Hilbert Space 33%
  • De-quantization 33%
• 1990

  Conormal bundles with vanishing Maslov form

  Vaisman, I., Dec 1990, In: Monatshefte fur Mathematik. 109, 4, p. 305-310 6 p.

  Research output: Contribution to journal › Article › peer-review

  • Conormal Bundle 100%
  • Minimal Submanifolds 100%
  • Submanifold 100%
  • Riemannian Manifold 50%
  • Locally Flat 50%

• Exotic characteristic classes of quaternionic bundles

  Vaisman, I., Feb 1990, In: Israel Journal of Mathematics. 69, 1, p. 46-58 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Quaternionic 100%
  • Characteristic Classes 100%
  • Characteristic Class 100%
  • Vector Bundle 66%
  • High-order 33%

• On some variational problems for 2-dimensional Hermitian metrics

  Vaisman, I., Jan 1990, In: Annals of Global Analysis and Geometry. 8, 2, p. 137-145 9 p.

  Research output: Contribution to journal › Article › peer-review

  • Variational Problem 100%
  • Matrix Norm 100%
  • Hermitian Metric 100%
  • Matrix (Mathematics) 100%
  • Torsion 33%

• The Maslov class in a Riemannian phase space

  Vaisman, I., 1990, In: Journal of Geometry and Physics. 7, 3, p. 383-394 12 p.

  Research output: Contribution to journal › Article › peer-review

  • Phase Space 100%
  • Lagrangian 100%
  • Mean Curvature Vector 100%
  • Legendrian Submanifold 100%
  • Maslov Class 100%
• 1988

  d_f-cohomology of Lagrangian foliations

  Vaisman, I., Sep 1988, In: Monatshefte fur Mathematik. 106, 3, p. 221-244 24 p.

  Research output: Contribution to journal › Article › peer-review

  • Cohomology 100%
  • Lagrangian Foliation 100%
  • Lagrangian 100%
  • Homology 100%
  • Cotangent Bundle 66%

• Holomorphic structures and connections on differentiable fibre bundles

  Vaisman, I., Mar 1988, In: Manuscripta Mathematica. 62, 1, p. 33-63 31 p.

  Research output: Contribution to journal › Article › peer-review
• 1986

  On some 2-dimensional Hermitian manifolds

  Tricerri, F. & Vaisman, I., Jun 1986, In: Mathematische Zeitschrift. 192, 2, p. 205-216 12 p.

  Research output: Contribution to journal › Article › peer-review

• Symplectic twistor spaces

  Vaisman, I., 1986, In: Journal of Geometry and Physics. 3, 4, p. 507-524 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Symplectic 100%
  • Twistor Space 100%
  • Complex Structure 25%
  • Kähler Manifold 25%
  • Almost Symplectic Manifolds 25%

• The Maslov class of some Legendre submanifolds

  Vaisman, I., 1986, In: Journal of Geometry and Physics. 3, 3, p. 289-301 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Maslov Class 100%
  • Legendrian Submanifold 100%
  • Submanifold 100%
  • Riemannian Manifold 33%
  • Differential Geometry 33%
• 1985

  Locally Conformal Symplectic Manifolds

  Vaisman, I., 1985, In: International Journal of Mathematics and Mathematical Sciences. 8, 3, p. 521-536 16 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Locally Conformal Symplectic Manifold 100%
  • Symplectic Manifold 100%
  • Infinitesimal Automorphism 60%
  • Automorphism 50%
  • Fibration 40%