## Tokyo Journal of Mathematics

### Orbits of Isotropy Groups of Compact Symmetric Spaces

#### Abstract

In this paper, for a compact symmetric space $M$ we consider orbits of the linear isotropy action of $M$ and the canonical action on $M$ of its isotropy group. We reduce some geometric conditions of these orbits to those of their starting points. Consequently we get some relations among the geometric conditions of orbits.

#### Article information

Source
Tokyo J. Math., Volume 24, Number 2 (2001), 407-428.

Dates
First available in Project Euclid: 19 October 2009

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1255958184

Digital Object Identifier
doi:10.3836/tjm/1255958184

Mathematical Reviews number (MathSciNet)
MR1874980

Zentralblatt MATH identifier
1022.53044

#### Citation

HIROHASHI, Daigo; IKAWA, Osamu; TASAKI, Hiroyuki. Orbits of Isotropy Groups of Compact Symmetric Spaces. Tokyo J. Math. 24 (2001), no. 2, 407--428. doi:10.3836/tjm/1255958184. https://projecteuclid.org/euclid.tjm/1255958184