Orthogonal geodesics in manifolds with singular boundary. Applications to the theo...
Bifurcation of minimal surfaces and the first eigenvalue of the Laplacian
| Full text | |
| Author(s): |
Longa, Eduardo Rosinato
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, R Matao 1010, BR-05508900 Sao Paulo, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRIC ANALYSIS; v. 32, n. 4 APR 2022. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove a local rigidity result for infinitesimally rigid capillary surfaces in some Riemannian 3-manifolds with mean-convex boundary. We also derive bounds on the genus, number of boundary components and area of any compact two-sided capillary minimal surface with low index under certain assumptions on the curvature of the ambient manifold and of its boundary. (AU) | |
| FAPESP's process: | 17/22704-0 - Bifurcation in geometric variational problems |
| Grantee: | Eduardo Rosinato Longa |
| Support Opportunities: | Scholarships in Brazil - Doctorate |