Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

Brian Grajales; Lino Grama

Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

Differential Geometry 2023-10-09 v1

Authors: Brian Grajales , Lino Grama

Abstract

In this paper, we investigate equigeodesics on a compact homogeneous space $M=G/H.$ We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of $M$ and the Lie structure of the Lie algebra of $G$ . Applications to $M$ -spaces are also discussed.

Keywords

geodesics and riemannian geometry homotopy groups algebraic topology

Cite

@article{arxiv.2310.03935,
  title  = {Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands},
  author = {Brian Grajales and Lino Grama},
  journal= {arXiv preprint arXiv:2310.03935},
  year   = {2023}
}

Comments

34 pages

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