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

(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.)

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)