| Grant number: | 21/03599-7 |
| Support type: | Scholarships in Brazil - Post-Doctorate |
| Effective date (Start): | May 01, 2021 |
| Status: | Discontinued |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal researcher: | Marcos Martins Alexandrino da Silva |
| Grantee: | Eduardo Rosinato Longa |
| Home Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM |
| Associated scholarship(s): | 21/09650-4 - Bifurcation of minimal surfaces and the first eigenvalue of the Laplacian, BE.EP.PD |
Abstract We seek to extend the application of the techniques of closed minimal surfaces to the case where they are noncompact and have a boundary, and to explore bifurcation phenomena related to these surfaces in homogeneous 3-manifolds. More specifically, we intend to address the following topics: possible elaboration of a survey about homological systoles in Riemannian manifolds, with the proposal of problems that involve ambients with group actions and generalised geometries, such as Randers metrics (Finsler); to explicitly control the topology of noncompact minimal surfaces with boundary and low index in some 3-dimensional ambients; and to apply bifurcation techniques to prove the abundancy of minimal tori in Berger spheres which are noncongruent to the Clifford torus. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
| TITULO | |
| Articles published in other media outlets (0 total): | |
| More itemsLess items | |
| VEICULO: TITULO (DATA) | |
| VEICULO: TITULO (DATA) | |