Work

A note on area estimates for stable $H$-hypersurfaces and applications

Year: 2023

Type: preprint

Abstract: We show some area estimates for stable CMC hypersurfaces immersed in Riemannian manifolds with scalar and sectional curvature bounded from below. In particular, we focus on immersions in three-dimensional Riemannian manifolds. As an application, we derive some upper estimates for the bottom spectrum of these hypersurfaces. This paper generalizes and builds on the techniques developed by Munteanu, Sung and Wang for stable minimal surfaces.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2305.03155

Authors: Ranieri, Marcos, Sampaio, Elaine, Vitório, Feliciano

Institution: Universidade Federal de Alagoas

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4375870237

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