Double vector bundles and duality

Katarzyna Konieczna and Pawel Urbanski

Address. Division of Mathematical Methods in Physics, University of Warsaw, Ho\D{z}a 74, 00-682 Warsaw, POLAND,

E-mail: urbanski@fuw.edu.pl

Abstract. The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.

AMSclassification. 53C15, 53C80.

Keywords. Double vector bundles, duality.