Invariant Einstein metrics on real flag manifolds with two or three isotropy summands
| Texto completo | |
| Autor(es): |
Grajales, Brian
;
Grama, Lino
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF GEOMETRY AND PHYSICS; v. 176, p. 31-pg., 2022-06-01. |
| Resumo | |
We study the existence of invariant Einstein metrics on real flag manifolds associated to simple and non-compact split real forms of complex classical Lie algebras whose isotropy representation decomposes into two or three irreducible subrepresentations. In this situation, one can have equivalent submodules, leading to the existence of non-diagonal homogeneous Riemannian metrics. In particular, we prove the existence of non-diagonal Einstein metrics on real flag manifolds. (C)& nbsp;2022 Elsevier B.V. All rights reserved. (AU) | |
| Processo FAPESP: | 21/04003-0 - Estruturas geométricas invariantes em espaços homogêneos |
| Beneficiário: | Lino Anderson da Silva Grama |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 18/13481-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos |
| Beneficiário: | Marco Antônio Teixeira |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |