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Topics on curved and flat manifolds

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


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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