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Totally geodesic submanifolds in compact Riemannian symmetric spaces and their stability |
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| Authors: | JIN Quanqin |
| Affiliation: | Institute of Applied Mathematics,Academy of Mathematics and System Sciences, Chinese Academy of Sciences,Beijing 100080,China;Department of Mathematics,Hebei University,Baoding 071002,China |
| Abstract: | In this paper, we determine a large class of totally geodesic submanifolds of a compact Riemannian symmetric space. The stability of these submanifolds in their ambient space is also determined. |
| Keywords: | compact Riemannian symmetric spaces totally geodesic submanifolds involutive automorphisms of a Lie group (or a Lie algebra) stability |
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