On curvature constructions of symplectic forms

Anna Szczepkowska; Aleksy Tralle; Artur Woike

Banach Center Publications (2011)

  • Volume: 93, Issue: 1, page 261-269
  • ISSN: 0137-6934

Abstract

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We generalize the result of Lerman [Letters Math. Phys. 15 (1988)] concerning the condition of fatness of the canonical connection in a certain principal fibre bundle. We also describe new classes of symplectically fat bundles: twistor budles over spheres, bundles over quaternionic Kähler homogeneous spaces and locally homogeneous complex manifolds.

How to cite

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Anna Szczepkowska, Aleksy Tralle, and Artur Woike. "On curvature constructions of symplectic forms." Banach Center Publications 93.1 (2011): 261-269. <http://eudml.org/doc/281779>.

@article{AnnaSzczepkowska2011,
abstract = {We generalize the result of Lerman [Letters Math. Phys. 15 (1988)] concerning the condition of fatness of the canonical connection in a certain principal fibre bundle. We also describe new classes of symplectically fat bundles: twistor budles over spheres, bundles over quaternionic Kähler homogeneous spaces and locally homogeneous complex manifolds.},
author = {Anna Szczepkowska, Aleksy Tralle, Artur Woike},
journal = {Banach Center Publications},
keywords = {symplectic structure; fat bundle; coadjoint orbit; curvature form},
language = {eng},
number = {1},
pages = {261-269},
title = {On curvature constructions of symplectic forms},
url = {http://eudml.org/doc/281779},
volume = {93},
year = {2011},
}

TY - JOUR
AU - Anna Szczepkowska
AU - Aleksy Tralle
AU - Artur Woike
TI - On curvature constructions of symplectic forms
JO - Banach Center Publications
PY - 2011
VL - 93
IS - 1
SP - 261
EP - 269
AB - We generalize the result of Lerman [Letters Math. Phys. 15 (1988)] concerning the condition of fatness of the canonical connection in a certain principal fibre bundle. We also describe new classes of symplectically fat bundles: twistor budles over spheres, bundles over quaternionic Kähler homogeneous spaces and locally homogeneous complex manifolds.
LA - eng
KW - symplectic structure; fat bundle; coadjoint orbit; curvature form
UR - http://eudml.org/doc/281779
ER -

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