Double vector bundles and duality
Katarzyna Konieczna, Pawel Urbanski
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.
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