Horizontally homothetic submersions and nonnegative curvature

2006/02/01 by Ye‐Lin Ou, Ye-Lin Ou, Ou, Ye-Lin +2
Engineering · Mathematics · Physics and Astronomy · #53C20 #53C21 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #Elasticity and Material Modeling #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG #msc:53C20 #msc:53C21

paper · pdf · doi:10.48550/arxiv.math/0602024

18 pages

openalex publication_date 2006/02/01 · arxiv created 2006/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that any horizontally homothetic submersion from a compact manifold of nonnegative sectional curvature is a Riemannian submersion.

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