Lifting diffeomorphisms to vector bundles

2025/02/03 by Masqué, Jaime Muñoz, María, Eugenia Rosado, Rodríguez, Ignacio Sánchez · 1 citation
#53C05 #53C10 #55R10 #55R25 #57R22 #57R50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.01245

Abstract

Criteria for a diffeomorphism of a smooth manifold M to be lifted to a linear automorphism of a given real vector bundle p\colon V→ M, are stated. Examples are included and the metric and complex vector-bundle cases are also considered.

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