English

Killing vector fields of constant length on compact homogeneous Riemannian manifolds

Differential Geometry 2020-05-19 v2

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.

Keywords

Cite

@article{arxiv.1504.03432,
  title  = {Killing vector fields of constant length on compact homogeneous Riemannian manifolds},
  author = {Yu. G. Nikonorov},
  journal= {arXiv preprint arXiv:1504.03432},
  year   = {2020}
}

Comments

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