1997/10/16 by Katarzyna Konieczna, Konieczna, Katarzyna, Pawel Urbanski +2 · 1 citation
Mathematics · Physics and Astronomy · #53C15 53C80 #Differential Geometry (math.DG) #Duality (order theory) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Vector bundle #dg-ga #math.DG #msc:53C15 #msc:53C80
paper · pdf · doi:10.48550/arxiv.dg-ga/9710014
29 pages, LamsTex 1991
arxiv created 1997/10/16 · openalex publication_date 1997/10/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.