Invariant pseudo-Kähler metrics on generalized flag manifolds
نویسندگان
چکیده
منابع مشابه
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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For a homogeneous space G/P , where P is a parabolic subgroup of a complex semisimple group G, an explicit Kähler–Einstein metric on it is constructed. The Einstein constant for the metric is 1. Therefore, the intersection number of the first Chern class of the holomorphic tangent bundle of G/P coincides with the volume of G/P with respect to this Kähler–Einstein metric, thus enabling us to com...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2014
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2014.07.003