C^1,α isometric extensions

2018/06/19 by Wentao Cao, László Székelyhidi, Cao, Wentao +1
Mathematics · #Advanced Banach Space Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1806.07335

openalex publication_date 2018/06/19 · openalex created_date 2018/06/29 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the Cauchy problem for isometric immersions. More precisely, given a smooth isometric immersion of a codimension one submanifold we construct C^1,α isometric extensions for any α

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