Reduction of Poisson-Nijenhuis manifolds

Izu Vaisman

doi:10.1016/0393-0440(95)00024-0

Reduction of Poisson-Nijenhuis manifolds

Izu Vaisman

Department of Mathematics

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

Abstract

The Poisson reduction theorem of Marsden-Raţiu is refined so as to include the reduction of either a Poisson-Nijenhuis structure (Magri and Morosi, 1984) or a complementary 2-form (Vaisman 1995).

Original language	English
Pages (from-to)	90-98
Number of pages	9
Journal	Journal of Geometry and Physics
Volume	19
Issue number	1
DOIs	https://doi.org/10.1016/0393-0440(95)00024-0
State	Published - May 1996

Keywords

Complementary 2-forms
Poisson-Nijenhuis structures
Reduction

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/0393-0440(95)00024-0

Cite this

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title = "Reduction of Poisson-Nijenhuis manifolds",

abstract = "The Poisson reduction theorem of Marsden-Ra{\c t}iu is refined so as to include the reduction of either a Poisson-Nijenhuis structure (Magri and Morosi, 1984) or a complementary 2-form (Vaisman 1995).",

keywords = "Complementary 2-forms, Poisson-Nijenhuis structures, Reduction",

author = "Izu Vaisman",

year = "1996",

month = may,

doi = "10.1016/0393-0440(95)00024-0",

language = "English",

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pages = "90--98",

journal = "Journal of Geometry and Physics",

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AU - Vaisman, Izu

PY - 1996/5

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N2 - The Poisson reduction theorem of Marsden-Raţiu is refined so as to include the reduction of either a Poisson-Nijenhuis structure (Magri and Morosi, 1984) or a complementary 2-form (Vaisman 1995).

AB - The Poisson reduction theorem of Marsden-Raţiu is refined so as to include the reduction of either a Poisson-Nijenhuis structure (Magri and Morosi, 1984) or a complementary 2-form (Vaisman 1995).

KW - Complementary 2-forms

KW - Poisson-Nijenhuis structures

KW - Reduction

UR - https://www.scopus.com/pages/publications/0001852833

U2 - 10.1016/0393-0440(95)00024-0

DO - 10.1016/0393-0440(95)00024-0

M3 - Article

AN - SCOPUS:0001852833

SN - 0393-0440

VL - 19

SP - 90

EP - 98

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1

ER -

Reduction of Poisson-Nijenhuis manifolds

Abstract

Keywords

ASJC Scopus subject areas

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