Geodesic orbit Riemann an metrics on spheres

Автор: Nikonorov Yurii Gennadievich

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 3 т.15, 2013 года.

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In this paper, a complete classification of geodesic orbit Riemannian metrics on spheres $S^n$ is obtained. We also construct some explicit examples of geodesic vectors for $Sp(n+1)U(1)$-invariant metrics on $S^{4n+3}$.

Homogeneous spaces, naturally reductive riemannian manifolds, normal homogeneous riemannian manifolds, geodesic orbit spaces, symmetric spaces, weakly symmetric spaces, homogeneous riemannian manifolds

Короткий адрес: https://sciup.org/14318432

IDR: 14318432

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