Stability of Catenoids and Helicoids in Hyperbolic Space

2016/08/06 by Biao Wang, Wang, Biao · 1 citation
Mathematics · #53A10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1608.02156

openalex publication_date 2016/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the stability of catenoids and helicoids in the hyperbolic 3-space ℍ³. (1) For a family of spherical minimal catenoids \C_a\_a>0 in ℍ³, there exist two constants 0a_c.

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• Rigidity of an overdetermined heat equation and minimal helicoids in space-forms

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