On nondegenerate coupling forms

Jarek Kedra; Aleksy Tralle; Artur Woike

doi:10.1016/j.geomphys.2010.10.019

On nondegenerate coupling forms

Jarek Kedra, Aleksy Tralle, Artur Woike

Mathematical Science

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

7 Citations (Scopus)

Abstract

The aim of the present paper is to investigate new classes of symplectically fat fibre bundles. We prove a general existence theorem for fat vectors with respect to the canonical invariant connections. Based on this result we give new proofs of some constructions of symplectic structures. This includes twistor bundles and locally homogeneous complex manifolds. The proofs are conceptually simpler and allow for obtaining more general results.

Original language	English
Pages (from-to)	462-475
Number of pages	23
Journal	Journal of Geometry and Physics
Volume	61
Issue number	2
Early online date	5 Nov 2010
DOIs	https://doi.org/10.1016/j.geomphys.2010.10.019
Publication status	Published - Feb 2011

Keywords

fat bundle
twistor bundle
locally homogeneous complex manifold
symplectic structure

Access to Document

10.1016/j.geomphys.2010.10.019Licence: Unspecified

Cite this

@article{a5f82502e5d941ed8629afce787de87e,

title = "On nondegenerate coupling forms",

abstract = "The aim of the present paper is to investigate new classes of symplectically fat fibre bundles. We prove a general existence theorem for fat vectors with respect to the canonical invariant connections. Based on this result we give new proofs of some constructions of symplectic structures. This includes twistor bundles and locally homogeneous complex manifolds. The proofs are conceptually simpler and allow for obtaining more general results. ",

keywords = "fat bundle, twistor bundle, locally homogeneous complex manifold, symplectic structure",

author = "Jarek Kedra and Aleksy Tralle and Artur Woike",

note = "The second author would like to thank Eugene Lerman for answering his questions. He is also indebted to IHES and the Max Planck Institute in Bonn for hospitality during the work on this paper. The second author is partly supported by the Ministry of Science and Higher Education, grant no. 1P03A 03330. We thank the referee for the careful reading and helpful comments.",

year = "2011",

month = feb,

doi = "10.1016/j.geomphys.2010.10.019",

language = "English",

volume = "61",

pages = "462--475",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - On nondegenerate coupling forms

AU - Kedra, Jarek

AU - Tralle, Aleksy

AU - Woike, Artur

N1 - The second author would like to thank Eugene Lerman for answering his questions. He is also indebted to IHES and the Max Planck Institute in Bonn for hospitality during the work on this paper. The second author is partly supported by the Ministry of Science and Higher Education, grant no. 1P03A 03330. We thank the referee for the careful reading and helpful comments.

PY - 2011/2

Y1 - 2011/2

N2 - The aim of the present paper is to investigate new classes of symplectically fat fibre bundles. We prove a general existence theorem for fat vectors with respect to the canonical invariant connections. Based on this result we give new proofs of some constructions of symplectic structures. This includes twistor bundles and locally homogeneous complex manifolds. The proofs are conceptually simpler and allow for obtaining more general results.

AB - The aim of the present paper is to investigate new classes of symplectically fat fibre bundles. We prove a general existence theorem for fat vectors with respect to the canonical invariant connections. Based on this result we give new proofs of some constructions of symplectic structures. This includes twistor bundles and locally homogeneous complex manifolds. The proofs are conceptually simpler and allow for obtaining more general results.

KW - fat bundle

KW - twistor bundle

KW - locally homogeneous complex manifold

KW - symplectic structure

U2 - 10.1016/j.geomphys.2010.10.019

DO - 10.1016/j.geomphys.2010.10.019

M3 - Article

VL - 61

SP - 462

EP - 475

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

IS - 2

ER -

On nondegenerate coupling forms

Abstract

Keywords

Access to Document

Fingerprint

Cite this