Positive curvatures, exotic manifolds and Riemannian foliations
Geometry of Riemannian, semi-Riemannian varieties and actions of Lie groups
BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability
| Grant number: | 17/10892-7 |
| Support Opportunities: | Regular Research Grants |
| Start date: | August 01, 2017 |
| End date: | April 30, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Llohann Dallagnol Sperança |
| Grantee: | Llohann Dallagnol Sperança |
| Host Institution: | Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil |
Abstract
This project is dedicated to the study of rigidity and obstructions for foliations and submersion on manifolds with positive or non-negative sectional curvature. The motivation of this project is the relation between topology and sectional curvature along with the common interaction between geometric constructions and symmetry: to mention, the main source of examples of non-negatively and positively curved spaces are homogeneous spaces or direct variations. In this project, such symmetries appear as Riemannian foliations. The purpose of the project is to address problems such as the following: - Classify totally geodesic folations in symmetrical spaces - Prove structural theorems for manifolds with non-negative curvature - Approach structural conjectures on manifolds of positive curvature - Construct examples of new manifolds with non-negative/positive curvature - Study metric variations through submersions and group actions (AU)
| Articles published in Agência FAPESP Newsletter about the research grant: |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |