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arxiv: 1002.0445 · v4 · pith:HRK4IO6Cnew · submitted 2010-02-02 · 🧮 math.DG

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

classification 🧮 math.DG
keywords kahlerinvariantstructuresflaggeneralizedstructureapplicationcompact
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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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