Rigidity and stability estimates for minimal submanifolds in the hyperbolic space

Author:

Bezerra A.C.ORCID,Manfio F.ORCID

Funder

FAPESP

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference16 articles.

1. Hypersurfaces with constant mean curvature in spheres;Alencar;Proc. Am. Math. Soc.,1994

2. Remarques sur léquation de J. Simons;Bérard,1991

3. Rigidity theorems for minimal submanifolds in a hyperbolic space;Bezerra;Ann. Acad. Sci. Fenn., Math.,2017

4. Stable complete minimal surfaces in R3 are planes;do Carmo;Bull. Am. Math. Soc. (N.S.),1979

5. Differential equations on Riemannian manifolds and their geometric applications;Cheng;Commun. Pure Appl. Math.,1975

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1. Complete stable minimal submanifolds with a parallel unit normal section in a Euclidean space;Journal of Mathematical Analysis and Applications;2025-02

2. Umbilicity of constant mean curvature hypersurfaces into space forms;Journal of Mathematical Analysis and Applications;2024-09

3. Some Rigidity Results of Minimal Submanifolds in Space Forms;Bulletin of the Iranian Mathematical Society;2022-01-29

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