Double vector bundles and duality

Details Double vector bundles and duality Double vector bundles and duality

1997-10-16

arxiv.org/abs/dg-ga/9710014v1

Mathematics

Differential Geometry

29 pages, LamsTex 1991

Scientific paper

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.

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