Topics on curved and flat manifolds

• Grant number: 19/16286-7
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2019
• End date: 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
• City of the host institution: São Paulo
• 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

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)