摘要
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.
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.
基金
a DGES Grant (No. PB97-1425).
关键词
变分性
积分平均曲率
管
对称空间
RIEMANN流形
超曲面
测地球
测地流形
主轨道
Integrated mean curvatures, Symmetric spaces, Tubes, Geodesic balls, Totally geodesic submanifold, Principal orbit, Variational problems
