Killing vector fields of constant length on compact homogeneous Riemannian manifolds

Abstract

In this paper we present some structural results on the Lie algebras of transitive isometry groups of a general compact homogenous Riemannian manifold with nontrivial Killing vector fields of constant length.

26 pages, small revision, accepted for publication in Annals of Global Analysis and Geometry

References in corpus (5)

• Compact Riemannian Manifolds with Homogeneous Geodesics
• Generalized normal homogeneous Riemannian metrics on spheres and projective spaces
• Clifford-Wolf homogeneous Randers spaces
• Killing Vector Fields of Constant Length on Riemannian Normal Homogeneous Spaces
• Toward a Classification of Killing Vector Fields of Constant Length on Pseudo--Riemannian Normal Homogeneous Spaces

Cited by in corpus (5)

• On the structure of geodesic orbit Riemannian spaces
• Geodesic orbit Riemannian spaces with two isotropy summands. I
• Spectral properties of Killing vector fields of constant length
• Algebraic properties of bounded Killing vector fields
• Killing Vector Fields on Multiply Warped Products with a Semi-symmetric Metric Connection