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VARIATIONAL PROPERTIES OF THE INTEGRATED MEAN CURVATURES OF TUBES IN SYMMETRIC SPACES |
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| Authors: | X. GUAL-ARNAU R. MASO A. M. NAVEIRA |
| Affiliation: | 1. Departament de Matemàtiques, Campus Riu Sec. Universitat Jaume I. 12071-Castelló, Spain. 2. Departamento de Geometría y Topología, Universidad de Valencia, 46100-Burjasot, (Valencia), Spain. |
| Abstract: | Let Pt 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, and their derivatives with respect to f. 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 |
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