首页|Invariant Einstein metrics on real flag manifolds with two or three isotropy summands

Invariant Einstein metrics on real flag manifolds with two or three isotropy summands

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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.

Einstein metricsHomogeneous spaceFlag manifoldsINVARIANT

Grajales, Brian、Grama, Lino

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Univ Pamplona

Univ Estadual Campinas

2022

Journal of geometry and physics

Journal of geometry and physics

SCI
ISSN:0393-0440
年,卷(期):2022.176
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