| Grant number: | 20/03431-6 |
| Support type: | Scholarships in Brazil - Post-Doctorate |
| Effective date (Start): | August 01, 2020 |
| Effective date (End): | July 31, 2022 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ruy Tojeiro de Figueiredo Junior |
| Grantee: | Marcos Paulo Tassi |
| Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated research grant: | 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM |
Abstract Part of our project consists in the study of general hypotheses on a certain class of surfaces in order to guarantee uniqueness of spheres immersed in three-dimensional Riemannian manifolds, in the sense of the generalized version of Hopf's Theorem proved by J.A. Gálvez and P. Mira (Uniqueness of immersed spheres in three-manifolds, to appear in Journal of Differential Geometry). We also intend to investigate Enneper-type (in particular, Joachimsthal-type) hypersurfaces with relevant geometric properties, according to the explicit description of such hypersurfaces recently obtained by S. Chión and R. Tojeiro, in 2020. (AU) | |