Geodesic orbit Riemannian metrics on spheres

Home Editorial board Publication ethics Peer review guidelines Latest issue All issues Rules for authors Online submission system’s guidelines Submit manuscript Contacts Address: Vatutina st. 53, Vladikavkaz, 362025, RNO-A, Russia Phone: (8672)23-00-54 E-mail: rio@smath.ru	Dear authors! Submission of all materials is carried out only electronically through Online Submission System in personal account. DOI: 10.23671/VNC.2014.3.10846 Geodesic orbit Riemannian metrics on spheres Nikonorov, Yu. G. Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 3. 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 $S^{4n+3}$. Keywords: homogeneous spaces, homogeneous Riemannian manifolds, naturally reductive Riemannian manifolds, normal homogeneous Riemannian manifolds, geodesic orbit spaces, symmetric spaces, weakly symmetric spaces Language: English Download the full text For citation: Nikonorov Yu. G. Geodesic orbit Riemannian metrics on spheres. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 15, no. 3, pp.67-76. DOI 10.23671/VNC.2014.3.10846 ← Contents of issue


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