English

Lifting diffeomorphisms to vector bundles

Differential Geometry 2025-02-04 v1

Abstract

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

Keywords

Cite

@article{arxiv.2502.01245,
  title  = {Lifting diffeomorphisms to vector bundles},
  author = {Jaime Muñoz Masqué and Eugenia Rosado María and Ignacio Sánchez Rodríguez},
  journal= {arXiv preprint arXiv:2502.01245},
  year   = {2025}
}
R2 v1 2026-06-28T21:30:25.698Z