Rigidity and stability estimates for minimal submanifolds in the hyperbolic space

Autor(es)

Bezerra, A. C. ^[1] ; Manfio, F. ^[2]

Afiliação do(s) autor(es)

^[1] Inst Fed Goiano, Campus Trindade, Trindade - Brazil

^[2] Univ Sao Paulo, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 495, n. 2 MAR 15 2021.
• Citações Web of Science: 0

Resumo

In this paper we establish conditions on the length of the second fundamental form of a complete minimal submanifold M-n in the hyperbolic space Hn+m in order to show that M-n is totally geodesic. We also obtain sharp upper bound estimates for the first eigenvalue of the super stability operator in the case of M is a surface in H-4. (C) 2020 Published by Elsevier Inc. (AU)

• Processo FAPESP: 16/23746-6 - Técnicas algébricas, topológicas e analíticas em geometria diferencial e análise geométrica
• Beneficiário: Paolo Piccione
• Linha de fomento: Auxílio à Pesquisa - Temático