Free Boundary Minimal Submanifolds in Euclidean Balls and Ricci Surfaces
Qualitative theory of differential equations and singularity theory
Isometric rigidity of submanifolds in products of space forms
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Inst Fed Goiano, Campus Trindade, Trindade - Brazil
[2] Univ Sao Paulo, Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 495, n. 2 MAR 15 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |