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 | |
| Publication status | Published - Feb 2011 |
Bibliographical 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.Keywords
- fat bundle
- twistor bundle
- locally homogeneous complex manifold
- symplectic structure