Geodesic
Geodesic orbit Riemannian metrics on spheres
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 67-76 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $S^{4n+3}$. 
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Yu. G. Nikonorov. Geodesic orbit Riemannian metrics on spheres. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 67-76. http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a7/

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