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Transports along maps in fibre bundles

1997/09/20 by Bozhidar Z. Iliev, Iliev, Bozhidar Z.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.dg-ga/9709016

openalex publication_date 1997/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generalized are the investigated in other works of the author transports along paths in fibre bundles to transports along arbitrary maps in them. Their structure and some properties are studied. Special attention is paid to the linear case and the case when the map's domain is a Cartesian product of two sets. Also considered are the consistency with bundle morphisms and a number of special cases.

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