Geometry of Homogeneous Spaces and Fiber Bundles

• Grant number: 08/04628-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2008
• End date: March 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Antonio Barrera San Martin
• Grantee: Lonardo Rabelo
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project studies geometric and topological properties of homogeneous spaces with an emphasis on generalized flag manifolds of noncompact semi-simple Lie groups.

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)

RABELO, LONARDO. Cellular homology of real maximal isotropic Grassmannians. ADVANCES IN GEOMETRY, v. 16, n. 3, p. 361-379, JUL 2016. (08/04628-6)

RABELO, LONARDO; SAN MARTIN, LUIZ A. B.. Cellular homology of real flag manifolds. INDAGATIONES MATHEMATICAE-NEW SERIES, v. 30, n. 5, p. 745-772, SEP 2019. (08/04628-6, 07/06896-5)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

RABELO, Lonardo. Homology and cohomology of real flag manifolds. 2012. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.