Isometric immersions of (intrinsically) homogeneous manifolds
Submanifold geometry and Morse theory in finite and infinite dimensions
Algebraic, topological and analytical techniques in differential geometry and geom...
| Grant number: | 19/19494-0 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | November 01, 2019 |
| End date: | February 28, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Claudio Gorodski |
| Grantee: | Felippe Soares Guimarães |
| Host 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): | 21/12348-8 - Isometric immersions of (intrinsically) homogeneous manifolds, BE.EP.PD |
Abstract The research topics are in Differential Geometry and involve three subjects: the concept of virtual immersions, which generalizes isometric immersions, with the goal of obtaining structural results for manifolds admitting virtual immersion with nonsymmetric second fundamental form; the study of isometric immersions of product manifolds in low codimension, namely, the use modern tools to attack Moore's conjecture from 1972; and investigate global results related to the recent concept of conformal genuine rigidity, that is, extend Sacksteder's theorem about isometric rigidity to the conformal setting. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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