Differential geometry on homogeneous spaces

• Grant number: 10/17034-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2011
• End date: March 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Antonio Barrera San Martin
• Grantee: Lino Anderson da Silva Grama
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 07/06896-5 - Geometry of control, dynamical and stochastic systems, AP.TEM

Abstract

O projeto proposto consiste em aplicar a teoria de Lie, em especial a teoria de Lie semi-simples, ao estudo de geometria Riemanniana, Hermitiana e suas generalizações em espaços homogêneos. Um dos problemas propostos é o estudo de estruturas complexas generalizadas em variedades flag. Outros problemas propostos são o estudo de estruturas Hemitianas em variedades flag generalizadas. (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)

GRAMA, LINO; MARTINS, RICARDO MIRANDA. Global behavior of the Ricci flow on generalized flag manifolds with two isotropy summands. INDAGATIONES MATHEMATICAE-NEW SERIES, v. 23, n. 1-2, p. 95-104, MAR 2012. (07/05215-4, 10/17034-7)

NEGREIROS, CAIO J. C.; GRAMA, LINO; DA SILVA, NEITON P.. Variational results on flag manifolds: Harmonic maps, geodesics and Einstein metrics. Journal of Fixed Point Theory and Applications, v. 10, n. 2, p. 307-325, DEC 2011. (07/06896-5, 10/17034-7)