## Journal of the Mathematical Society of Japan

### Spindles' in symmetric spaces

Peter QUAST

#### Abstract

We study families of submanifolds in symmetric spaces of compact type arising as exponential images of $s$-orbits of variable radii. If the $s$-orbit is symmetric such submanifolds are the most important examples of adapted submanifolds, i.e. of submanifolds of symmetric spaces with curvature invariant tangent and normal spaces.

#### Article information

Source
J. Math. Soc. Japan, Volume 58, Number 4 (2006), 985-994.

Dates
First available in Project Euclid: 21 May 2007

https://projecteuclid.org/euclid.jmsj/1179759533

Digital Object Identifier
doi:10.2969/jmsj/1179759533

Mathematical Reviews number (MathSciNet)
MR2276177

Zentralblatt MATH identifier
1114.53053

#### Citation

QUAST, Peter. Spindles' in symmetric spaces. J. Math. Soc. Japan 58 (2006), no. 4, 985--994. doi:10.2969/jmsj/1179759533. https://projecteuclid.org/euclid.jmsj/1179759533

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