On nondegenerate coupling forms

Jarek Kedra, Aleksy Tralle, Artur Woike

Research output: Contribution to journalArticle

6 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 languageEnglish
Pages (from-to)462-475
Number of pages23
JournalJournal of Geometry and Physics
Volume61
Issue number2
Early online date5 Nov 2010
DOIs
Publication statusPublished - Feb 2011

Keywords

  • fat bundle
  • twistor bundle
  • locally homogeneous complex manifold
  • symplectic structure

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