Integral curvature and topological obstructions for submanifolds

2010/08/06 by Theodoros Vlachos, Vlachos, Theodoros
Computer Science · Mathematics · #53C20 #53C40 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1008.1179

openalex publication_date 2010/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide integral curvature bounds for compact Riemannian manifolds that allow isometric immersions into a Euclidean space with low codimension in terms of the Betti numbers.

Related

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