Invariant Einstein metrics on flag manifolds with four isotropy summands

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Invariant Einstein Metrics on Flag Manifolds with Four Isotropy Summands

A generalized flag manifold is a homogeneous space of the form G/K, where K is the centralizer of a torus in a compact connected semisimple Lie group G. We classify all flag manifolds with four isotropy summands by the use of t-roots. We present new G-invariant Einstein metrics by solving explicity the Einstein equation. We also examine the isometric problem for these Einstein metrics. 2000 Mat...

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ژورنال

عنوان ژورنال: Annals of Global Analysis and Geometry

سال: 2009

ISSN: 0232-704X,1572-9060

DOI: 10.1007/s10455-009-9183-7