English

Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces

Differential Geometry 2020-12-15 v1

Abstract

In this paper, we focus on homogeneous spaces which are constructed from two strongly isotropy irreducible spaces, and prove that any geodesic orbit metric on these spaces is naturally reductive.

Keywords

Cite

@article{arxiv.2012.07015,
  title  = {Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces},
  author = {Huibin Chen and Zhiqi Chen and Fuhai Zhu},
  journal= {arXiv preprint arXiv:2012.07015},
  year   = {2020}
}

Comments

18 pages. Accepted for publication in SCIENCE CHINA Mathematics