Least area Spherical Catenoids in Hyperbolic Three-Dimensional Space

2012/04/22 by Biao Wang, Wang, Biao · 1 citation
Mathematics · #53A10 (Primary) #53C42 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1204.4943

openalex publication_date 2012/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a family of spherical minimal catenoids C_a in the hyperbolic 3-space, there exist two constants 0=a_c, and (3) C_a is a least area minimal surface in the sense of Meeks-Yau if a>=a_l.

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