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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 3, Pages 67–76
(Mi vmj473)
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This article is cited in 12 scientific papers (total in 12 papers)
Geodesic orbit Riemannian metrics on spheres
Yu. G. Nikonorov
South Mathematical Institute of VSC RAS, Vladikavkaz, Markus str., 22, 362027, Russia
Abstract:
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 $S^{4n+3}$.
Key words:
homogeneous spaces, homogeneous Riemannian manifolds, naturally reductive Riemannian manifolds, normal homogeneous Riemannian manifolds, geodesic orbit spaces, symmetric spaces, weakly symmetric spaces.
Received: 06.11.2012
Citation:
Yu. G. Nikonorov, “Geodesic orbit Riemannian metrics on spheres”, Vladikavkaz. Mat. Zh., 15:3 (2013), 67–76
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https://www.mathnet.ru/eng/vmj473 https://www.mathnet.ru/eng/vmj/v15/i3/p67
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