Full text
| |
| Author(s): |
Leonardo Francisco Cavenaghi
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2020-12-08 |
| Examining board members: |
Llohann Dallagnol Sperança;
Renato Ghini Bettiol;
Francisco Carlos Caramello Junior;
Mateus Moreira de Melo;
Marco Radeschi
|
| Advisor: | Llohann Dallagnol Sperança; Marcos Martins Alexandrino da Silva |
| Abstract | |
In this thesis we study several metric deformations in order to build new examples and find necessary and sufficient conditions for the existence of metrics with curvature properties (non-negative and positive), possibly building new examples, which are based on exotic manifolds. We also studied the limit behavior of the Mean Curvature Flow on manifolds with Singular Riemannian foliations, in addition to the problem of prescribing scalar curvature in large classes of bundles. (AU) | |
| FAPESP's process: | 17/24680-1 - Metric deformations and applications |
| Grantee: | Leonardo Francisco Cavenaghi |
| Support Opportunities: | Scholarships in Brazil - Doctorate |