Double vector bundles and duality
dg-ga
2007-05-23 v1 Differential Geometry
Abstract
The most important examples of a double vector bundle are provided by iterated tangent and cotangent functors: TTM, TT^*M, T^*TM, and T^*T^*M. We introduce the notions of the dual double vector bundle and the dual double vector bundle morphism. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.
Cite
@article{arxiv.dg-ga/9710014,
title = {Double vector bundles and duality},
author = {Katarzyna Konieczna and Pawel Urbanski},
journal= {arXiv preprint arXiv:dg-ga/9710014},
year = {2007}
}
Comments
29 pages, LamsTex 1991