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| VARIATIONAL PROPERTIES OF THE INTEGRATED MEAN CURVATURES OF TUBES IN SYMMETRIC SPACES |
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Citation： |
X. GUAL-ARNAU,R. MASO,A. M. NAVEIRA.VARIATIONAL PROPERTIES OF THE INTEGRATED MEAN CURVATURES OF TUBES IN SYMMETRIC SPACES[J].Chinese Annals of Mathematics B,2002,23(1):53~62 |
| Page view： 1262
Net amount： 788 |
Authors： |
X. GUAL-ARNAU; R. MASO;A. M. NAVEIRA |
Foundation： |
Project supported by a DGES Grant (No. PB97-1425). |
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| Abstract： |
Let $P_t$ denote the tubular hypersurface of radius t around a given compatible submanifold in a symmetric space of arbitrary rank. The authors will obtain some relations between the integrated mean curvatures of $P_t$ and their derivatives with respect to t. Moreover, the authors will emphasize the differences between the results obtained for rank one and arbitrary rank symmetric spaces. |
Keywords： |
Integrated mean curvatures, Symmetric spaces, Tubes, Geodesic balls, Totally geodesic submanifold, Principal orbit, Variational problems |
Classification： |
53C20, 53C35 |
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