Let M be a compact Riemannian symmetric space. We give an analytical expression for the area and volume functions of geodesic balls in M and for the area and volume functions of tubes around some totally geodesic submanifolds P of M. We plot the graphs of these functions for some compact irreducible
Symmetric submanifolds in symmetric spaces
β Scribed by Daria Osipova
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 109 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0926-2245
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β¦ Synopsis
In this paper we construct new examples of symmetric non-totally geodesic submanifolds in irreducible symmetric spaces of non-compact type and of rank 2. These symmetric spaces are characterized by the fact that they contain a reflective submanifold with one-dimensional Euclidean factor; they are listed at the end of the paper. ο 2001 Published by Elsevier Science B.V.
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