Special invariant metrics on Lie groups and their compact quotients
Aspects of the conformal and Riemannian geometry of Lie groups and their compact q...
Topological methods and the existence/non-existence problem of Einstein metrics on...
Invariant Einstein metrics on real flag manifolds with two or three isotropy summands
| Full text | |
| Author(s): |
Grajales, Brian
;
Grama, Lino
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 176, p. 31-pg., 2022-06-01. |
| Abstract | |
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) | |
| FAPESP's process: | 21/04003-0 - Invariant geometric structures on homogeneous spaces |
| Grantee: | Lino Anderson da Silva Grama |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/13481-0 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |