On Some Geometric Structures Associated to a k-Symplectic Manifold
Differential Geometry
2013-06-18 v3 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
A canonical connection is attached to any k-symplectic manifold. We study the properties of this connection and its geometric applications to k-symplectic manifolds. In particular we prove that, under some natural assumption, any ksymplectic manifold admits an Ehresmann connection, discussing some corollaries of this result, and we find vanishing theorems for characteristic classes on a k-symplectic manifold.
Cite
@article{arxiv.0710.1611,
title = {On Some Geometric Structures Associated to a k-Symplectic Manifold},
author = {Adara M. Blaga and B. Cappelletti Montano},
journal= {arXiv preprint arXiv:0710.1611},
year = {2013}
}
Comments
To appear on J. Phys. A: Math. Theor