| Full text | |
| Author(s): |
Longa, Eduardo
[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. 31, n. 8, p. 7741-7749, AUG 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove some sharp systolic inequalities for compact 3-manifolds with boundary. They relate the (relative) homological systoles of the manifold to its scalar curvature and mean curvature of the boundary. In the equality case, the universal cover of the manifold is isometric to a cylinder over a disc of nonnegative constant curvature. (AU) | |
| FAPESP's process: | 17/22704-0 - Bifurcation in geometric variational problems |
| Grantee: | Eduardo Rosinato Longa |
| Support Opportunities: | Scholarships in Brazil - Doctorate |