Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

Autor: Grajales, Brian, Grama, Lino
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 34 pages
Databáze: arXiv