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Submetries vs. submersions

2009/09/25 by Luis Guijarro, Guijarro, Luis, Gerard Walschap +1
Mathematics · Physics and Astronomy · #53C20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.DG #math.MG #msc:53C20

paper · pdf · doi:10.48550/arxiv.0909.4650

The second version corrects a few minor mistakes

openalex publication_date 2009/09/25 · arxiv created 2009/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study submetries between Alexandrov spaces and show how some of the usual features of Riemannian submersions fail due to the lack of smoothness.

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