|
|||||
|
|
VARIATIONAL PROPERTIES OF THE INTEGRATED MEAN CURVATURES OF TUBES IN SYMMETRIC SPACES |
|
| Authors: | X GUAL-ARNAU R MASO and A M NAVEIRA |
| Institution: | 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 |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 | |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 | |