A property of Wallach's flag manifolds

Teresa Arias-Marco

Displaying similar documents to “A property of Wallach's flag manifolds”

Adapted complex structures and Riemannian homogeneous spaces

Róbert Szőke (1998)

Annales Polonici Mathematici

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We prove that every compact, normal Riemannian homogeneous manifold admits an adapted complex structure on its entire tangent bundle.

Homogeneous Lorentzian 3-manifolds with a parallel null vector field.

Batat, W., Calvaruso, G., De Leo, B. (2009)

Balkan Journal of Geometry and its Applications (BJGA)

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Five-dimensional $ϕ$ -symmetric spaces.

García-Río, Eduardo, Vanhecke, Lieven (1996)

Balkan Journal of Geometry and its Applications (BJGA)

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Compact Riemannian manifolds with homogeneous geodesics.

Alekseevsky, Dmitrii V., Nikonorov, Yurii G. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Curvature properties of certain compact pseudosymmetric manifolds

Ryszard Deszcz (1993)

Colloquium Mathematicae

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Riemannian symmetries in flag manifolds

Paola Piu, Elisabeth Remm (2012)

Archivum Mathematicum

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Flag manifolds are in general not symmetric spaces. But they are provided with a structure of $ℤ_{2}^{k}$ -symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. The conditions for a metric adapted to the $ℤ_{2}^{2}$ -symmetric structure to be naturally reductive are detailed for the flag manifold $S O (5) / S O (2) \times S O (2) \times S O (1)$ .

On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

Ryszard Deszcz, Marian Hotloś, Zerrin Şentürk (1999)

Colloquium Mathematicae

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Displaying similar documents to “A property of Wallach's flag manifolds”

Adapted complex structures and Riemannian homogeneous spaces

Homogeneous Lorentzian 3-manifolds with a parallel null vector field.

Five-dimensional ϕ -symmetric spaces.

Compact Riemannian manifolds with homogeneous geodesics.

Curvature properties of certain compact pseudosymmetric manifolds

Riemannian symmetries in flag manifolds

On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

Five-dimensional $ϕ$ -symmetric spaces.