Invariant -structures on the flag manifolds .

Balashchenko, Vitaly V.; Sakovich, Anna

Displaying similar documents to “Invariant $f$ -structures on the flag manifolds $SO (n) / SO (2) \times SO (n - 3)$ .”

Metrics with homogeneous geodesics on flag manifolds

Dimitri V. Alekseevsky, Andreas Arvanitoyeorgos (2002)

Commentationes Mathematicae Universitatis Carolinae

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A geodesic of a homogeneous Riemannian manifold $(M = G / K, g)$ is called homogeneous if it is an orbit of an one-parameter subgroup of $G$ . In the case when $M = G / H$ is a naturally reductive space, that is the $G$ -invariant metric $g$ is defined by some non degenerate biinvariant symmetric bilinear form $B$ , all geodesics of $M$ are homogeneous. We consider the case when $M = G / K$ is a flag manifold, i.eȧn adjoint orbit of a compact semisimple Lie group $G$ , and we give a simple necessary condition that $M$ admits a non-naturally...

The Srní lectures on non-integrable geometries with torsion

Ilka Agricola (2006)

Archivum Mathematicum

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This review article intends to introduce the reader to non-integrable geometric structures on Riemannian manifolds and invariant metric connections with torsion, and to discuss recent aspects of mathematical physics—in particular superstring theory—where these naturally appear. Connections with skew-symmetric torsion are exhibited as one of the main tools to understand non-integrable geometries. To this aim a a series of key examples is presented and successively dealt with using the...

Generalized symmetric spaces (Preliminary communication)

Oldřich Kowalski (1974)

Commentationes Mathematicae Universitatis Carolinae

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Displaying similar documents to “Invariant f -structures on the flag manifolds SO ( n ) / SO ( 2 ) × SO ( n - 3 ) .”

Metrics with homogeneous geodesics on flag manifolds

The Srní lectures on non-integrable geometries with torsion

Generalized symmetric spaces (Preliminary communication)

Displaying similar documents to “Invariant $f$ -structures on the flag manifolds $SO (n) / SO (2) \times SO (n - 3)$ .”