A note about invariant SKT structures and generalized Kahler structures on flag manifolds

Details A note about invariant SKT structures and generalized Kahler structures on flag manifolds A note about invariant SKT structures and generalized Kahler structures on flag manifolds

2010-02-02

arxiv.org/abs/1002.0445v4

Mathematics

Differential Geometry

9 pages; paper reorganized; title and abstract changed; reference [7] updated

Scientific paper

We prove that any invariant strong Kahler structure with torsion (SKT
structure) on a flag manifold M=G/K of a semisimple compact Lie group G is
Kahler. As an application we describe invariant generalized Kahler structures
on M.

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