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Currently displaying 1 – 2 of 2

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Riemannian symmetries in flag manifolds

Paola Piu; Elisabeth Remm — 2012

Archivum Mathematicum

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 $S O (5) / S O (2) \times S O (2) \times S O (1)$ .

SO(2) invariant minimal and constant mean curvature surfaces in 3-dimensional homogeneous spaces.

Renzo Caddeo; Paola Piu; Andrea Ratto — 1995

Manuscripta mathematica

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