Work

Constant mean curvature disks with circular boundary in the $3$-sphere and in hyperbolic space

Year: 2026

Type: preprint

Abstract: We prove that a compact immersed disk of constant mean curvature in $\mathbb S^3$ or in $\mathbb H^3$ whose boundary is mapped diffeomorphically onto a circle is an embedded totally umbilical disk.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.39790

Author: López, Rafael

Institution: Universidad de Granada

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia e Innovación, Agencia Estatal de Investigación

Awards: G1855990336, G2193086574, G2309174360, G2660406951, G3518538256, G430777504, G4375020459, G4571679087, G5224526408, G5421974903, G567365627, G745419941, G8830566661, G99296377

OpenAlex ID: W7215113663

Cites: 2

Cited by: 1

Related to: 10