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 Applications. 56, p. 120-141 22 p.

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

  Open Access

  • Hypersurface 100%
  • Binormal 54%
  • F-structure 30%
  • Almost Complex Structure 24%
  • Contact Structure 23%
• 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

  • F-structure 100%
  • Siméon Denis Poisson 77%
  • Lie Algebroid 41%
  • Nonholonomic 40%
  • Contact Manifold 39%
• 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

  • Complex Geometry 100%
  • Complex Structure 89%
  • Submanifolds 75%
  • Invariant Submanifold 57%
  • Smoothness 34%
• 2015

  Generalized para-Kähler manifolds

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

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

  Open Access

  • Almost Complex Structure 100%
  • Nondegeneracy 87%
  • Complex Structure 84%
  • Riemannian Metric 79%
  • Submanifolds 70%
• 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 100%
  • Correspondence 84%
  • Curvature 81%
  • Metric 68%
• 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

  • Symplectic Manifold 100%
  • Vector Field 73%
  • theorems 37%
  • Dirac Structures 25%
  • tangents 22%

• 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

  • Hermitian Manifold 100%
  • Field Theory 80%
  • Brackets 78%
  • brackets 56%
  • Tangent Bundle 20%
• 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

  • Dirac Structures 100%
  • brackets 80%
  • Field Theory 75%
  • Brackets 74%
  • Geometric Invariants 44%
• 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

  • Lie Algebroid 100%
  • Characteristic Classes 48%
  • Foliation 38%
  • Tangent line 36%
  • Cohomology 32%
• 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

  • Decompose 100%

• Characteristic classes of Lie algebroid morphisms

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

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

  Open Access

  • Lie Algebroid 100%
  • Characteristic Classes 96%
  • Morphism 69%
  • Class 7%

• 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

  • Lie Algebroid 100%
  • Foliation 77%
  • Slice 55%
  • Poisson Structure 29%
  • Brackets 27%

• 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

  • Sasakian Manifold 100%
  • Contact Manifold 99%
  • Geometric Structure 86%
  • Contact 67%
• 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

  • Hamiltonian functions 100%
  • Geometric Quantization 88%
  • homology 83%
  • Integrality 75%
  • Polarization 73%
• 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

  • F-structure 100%
  • Metric 32%
  • Covariant Derivative 20%
  • Quadruple 19%
  • Contact Structure 19%
• 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 Structures 100%
  • Complex Structure 74%
  • Paul Adrien Maurice Dirac 68%
  • Contact Structure 63%
  • Jacobi 48%

• 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

  • brackets 100%
  • theorems 71%
  • geometry 48%

• Reduction and submanifolds of generalized complex manifolds

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

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

  Open Access

  • Complex Manifolds 100%
  • Submanifolds 84%
  • Presentation 58%
  • Complex Structure 50%
  • Tensor 37%

• Weak-Hamiltonian dynamical systems

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

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

  • dynamical systems 100%
  • Hamiltonian Systems 92%
  • Dynamical system 74%
  • Integrability 60%
  • brackets 58%
• 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

  • Dirac Structures 100%
  • Foliation 69%
  • Poisson Structure 40%
  • leaves 36%
  • Leaves 34%
• 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

  • tangents 100%
  • bundles 97%
  • isotropy 37%

• 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

  • Brackets 100%
  • Metric 61%
  • Vector Bundle 60%
  • Euclidean 51%
  • Minimal Rank 43%
• 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

  • Poisson Structure 100%
  • Tensor 46%
  • Nijenhuis Tensor 44%
  • Symplectic Structure 33%
  • Complex Structure 30%

• 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 100%
  • Tangent line 98%
  • Finsler Geometry 71%
  • Lagrangian Function 68%
  • Tangent Bundle 57%

• Poisson structures on tangent bundles

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

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

  Open Access

  • Poisson Structure 100%
  • Tangent Bundle 94%
  • Polynomial Algebra 34%
  • Brackets 30%
  • Foliation 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

  • Quantization 100%
  • Poisson Manifolds 67%
  • Poisson Structure 60%
  • Framework 59%
  • Symplectic Manifold 57%

• 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

  • Hamiltonian Structure 100%
  • Poisson Structure 96%
  • Foliation 83%
  • Geometric Quantization 56%
  • homology 53%
• 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

  • Foliation 100%
  • Almost Complex Structure 84%
  • Integrability 59%
  • Bundle 55%
  • Twistor Space 44%

• 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

  • Poisson Manifolds 100%
  • Lagrangian Submanifold 94%
  • Symplectic Structure 89%
  • Symplectic Manifold 84%
  • Text 71%

• 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

  • Twistor Space 100%
  • Foliation 74%
  • Leaves 36%
  • Bundle 31%
  • Projective Structure 25%
• 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

  • Brackets 100%
  • Lie Algebra 73%
  • Invariant 51%
  • Form 38%
  • Multiplicative 38%
• 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

  • Symplectic Form 100%
  • Symplectic Manifold 90%
  • Lagrange 77%
  • Symplectic Reduction 58%
  • Lagrangian Function 53%
• 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

  • Almost Hermitian Manifold 100%
  • Twistor Space 94%
  • Moving Frame 45%
  • Chern Classes 41%
  • Integrability 31%
• 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 Applications. 7, 3, p. 265-275 11 p.

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

  Open Access

  • Geometric Quantization 100%
  • Poisson Manifolds 95%
  • Leaves 71%
  • Quantization 70%
  • Bundle 61%
• 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%
  • Lie Algebroid 44%
  • Form 35%
  • Siméon Denis Poisson 27%
  • Poisson Manifolds 22%

• 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

  • Siméon Denis Poisson 100%
  • theorems 52%
  • Form 25%
  • Theorem 25%
• 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

  • Tangent Bundle 100%
  • Vector Field 74%
  • Inverse Problem 72%
  • Differentiable Manifolds 58%
  • Lagrangian Submanifold 56%
• 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%
  • Partial 56%
  • Frobenius 28%
  • Diffeomorphism 26%
  • Bundle 23%

• 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

  • Geometric Quantization 100%
  • Poisson Manifolds 95%
  • Quantization 70%
  • Poisson Algebra 46%
  • Integrality 42%
• 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

  • Minimal Submanifolds 100%
  • Bundle 64%
  • Lagrangian Submanifold 63%
  • Form 31%
  • Submanifolds 23%

• 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

  • Characteristic Classes 100%
  • Vector Bundle 77%
  • Bundle 67%
  • Chern Classes 47%
  • Tangent Bundle 43%

• 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%
  • Metric 69%
  • Norm 63%
  • Hermitian Manifold 20%
  • Second Variation 19%

• 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

  • Mean Curvature 100%
  • Phase Space 94%
  • Submanifolds 90%
  • curvature 76%
  • Class 29%
• 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

  • Foliation 100%
  • Cohomology 83%
  • Cotangent Bundle 79%
  • Symplectic Structure 38%
  • Obstruction 33%

• 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

  • Twistor Space 100%
  • Kaehler Manifold 34%
  • Tangent Space 28%
  • Symplectic Manifold 27%
  • Complex Structure 26%

• 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

  • Legendre 100%
  • Submanifolds 88%
  • Legendre Curve 76%
  • Contact Form 67%
  • Cotangent 65%
• 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

  • Symplectic Manifold 100%
  • Automorphism 42%
  • Fibration 37%
  • Form 37%
  • Contact Geometry 26%