Structure of finite dimensional linear bundles morphisms

2023/12/19 by Fernand Pelletier, Pelletier, Fernand, Patrick Cabau +1
Mathematics · #46T05 #46T10 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2312.11931

openalex publication_date 2023/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p_E : E → M be a fibre bundle over the m-dimensional manifold M whose typical fibre is the vector space \R^e and let p_F : F → N be a fibre bundle over the n-dimensional manifold N whose typical fibre is the vector space \R^f. We are interested in the structure of the set \Morph(E,F) of smooth linear bundle morphisms Φ: E → F above smooth maps φ: M → N.

Citations

• Stability of C ∞ Mappings: II. Infinitesimal Stability Implies Stability
• Analytic extensions of differentiable functions defined in closed sets

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