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arxiv: 1401.4038 · v1 · pith:RFUVI7LNnew · submitted 2014-01-16 · 🧮 math.DG

The index of symmetry of a flag manifold

classification 🧮 math.DG
keywords symmetryflagindexmanifoldcompactdimensionendowedestimate
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We study the index of symmetry of a compact generalized flag manifold M=G/H endowed with an invariant Kaehler structure. When the group G is simple we show that the leaves of symmetry are irreducible Hermitian symmetric spaces and we estimate their dimension.

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