Compact geodesic orbit spaces with a simple isotropy group

Abstract

Let $M=G/H$ be a compact, simply connected, Riemannian homogeneous space, where $G$ is (almost) effective and $H$ is a simple Lie group. In this paper, we first classify all $G$-naturally reductive metrics on $M$, and then all $G$-geodesic orbit metrics on $M$.

37 pages

References in corpus (2)

• Compact Riemannian Manifolds with Homogeneous Geodesics
• The stability of standard homogeneous Einstein manifolds

Cited by in corpus (2)

• Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds
• On geodesic orbit nilmanifolds