BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability
Special invariant metrics on Lie groups and their compact quotients
Geometry and topology under positive/nonnegative sectional curvature
| Grant number: | 19/16286-7 |
| Support Opportunities: | Regular Research Grants |
| Duration: | December 01, 2019 - May 31, 2022 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Mobility Program: | SPRINT - Projetos de pesquisa - Mobilidade |
| Principal Investigator: | Paolo Piccione |
| Grantee: | Paolo Piccione |
| Principal researcher abroad: | Andrzej J Derdzinski |
| Institution abroad: | Ohio State University, United States |
| 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 |
Abstract
We propose the study of five topics related to the classification of manifolds endowed with a Riemannian metric and some other compatible structure, such as (a) a gradient holomorphic geodesic field; (b) harmonic curvature tensor; (c) parallel distribution with compact flat leaves. (AU)
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