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

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)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BETTIOL, RENATO G.; DERDZINSKI, ANDRZEJ; MOSSA, ROBERTO; PICCIONE, PAOLO. Subspace foliations and collapse of closed flat manifolds. Mathematische Nachrichten, v. 295, n. 12, p. 19-pg., 2022-10-31. (19/19891-9, 19/16286-7, 16/23746-6, 18/08971-9)