The index of symmetry of a flag manifold

• Fabio Podestà ^[1]
  1. [1] Universita di Firenze
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 4, 2015, págs. 1415-1422
• Idioma: inglés
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• Resumen

  • We study the index of symmetry of a compact generalized flag manifold M=G/H endowed with an invariant Kähler structure. When the group G is simple we show that the leaves of symmetry are irreducible Hermitian symmetric spaces which depend only on the invariant complex structure and we estimate their dimension.