Geometry and dynamics between São Paulo and New York

• Grant number: 19/09045-3
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2019
• End date: August 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: Renato Ghini Bettiol
• Institution abroad: City University of New York (CUNY), United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated researchers: André Salles de Carvalho ; Fábio Armando Tal ; Patricia Romano Cirilo
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM

Abstract

The project consists of three main research lines in the areasof Geometry and Dynamics:- Poincaré-Einstein metrics- Yamabe problem- Transition to chaos (AU)

Scientific publications

(4)

(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)

CIRILO, PATRICIA; GOLLOBIT, BRYCE; PUJALS, ENRIQUE. Dynamics of generalized hyperbolic linear operators. ADVANCES IN MATHEMATICS, v. 387, AUG 27 2021. (19/10269-3, 19/09045-3)

BETTIOL, RENATO G.; LAURET, EMILIO A.; PICCIONE, PAOLO. Full Laplace spectrum of distance spheres in symmetric spaces of rank one. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v. N/A, p. 22-pg., 2022-04-28. (19/09045-3, 16/23746-6)

BETTIOL, RENATO G.; PICCIONE, PAOLO. Global bifurcation for a class of nonlinear ODEs. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 16, n. 1, p. 22-pg., 2022-02-17. (16/23746-6, 19/09045-3, 19/19891-9)

BETTIOL, RENATO G.; LAURET, EMILIO A.; PICCIONE, PAOLO. The First Eigenvalue of a Homogeneous CROSS. JOURNAL OF GEOMETRIC ANALYSIS, v. 32, n. 3, MAR 2022. (19/19891-9, 19/09045-3, 16/23746-6)