Proper actions and foliations in Riemannian geometry

• Grant number: 14/22568-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2015
• End date: January 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Gorodski
• Grantee: Francisco José Gozzi
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry, AP.TEM

Abstract

The goals of this project are to construct interesting examples of proper isometric actions of Lie groups, to provide a systematic description of such families with prescribed local symmetry and orbit space, and to study particular geometries with conditions of positive (or non-negative) under the auxiliary assumption that the metric is invariant under a certain action. We also intend to investigate the above questions in the more general context of singular Riemannian foliations.

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)

GORODSKI, CLAUDIO; GOZZI, FRANCISCO J.. Representations with Sp(1)(k)-reductions and quaternion-Kahler symmetric spaces. MATHEMATISCHE ZEITSCHRIFT, v. 290, n. 1-2, p. 561-575, OCT 2018. (14/22568-1, 11/21362-2)

GOZZI, FRANCISCO J.. Representations of compact Lie groups of low cohomogeneity. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 15, n. 1, p. 15-pg., 2021-06-01. (14/22568-1)