Non-closed minimal hypersurfaces of \BbbS⁴(1) with identically zero Gauß-Kronecker curvature

2002/10/16 by Tsasa Lusala, Lusala, Tsasa
Mathematics · #53B25 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.DG #msc:53B25 #msc:53C40

paper · pdf · doi:10.48550/arxiv.math/0210238

15 pages. To appear in Hokkaido Mathematical Journal

arxiv created 2002/10/16 · openalex publication_date 2002/10/16 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We give a partial local description of minimal hypersurfaces M³ with identically zero Gauß-Kronecker curvature function in the unit 4-sphere \BbbS⁴(1), without assumption on the compactness of M³.

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