The tension field of the Gauss map
The tension field of the Gauss map
复制标题
DOI：
10.1090/s0002-9947-1970-0259768-5
复制
发表时间：
1970-02
影响因子：
1.3
通讯作者：
E. Ruh;J. Vilms
中科院分区：
文献类型：
--
作者：
E. Ruh;J. Vilms
.本文证明了高斯映射的张力场可以用平均曲率向量场的协变导数来识别。由于称张力场为零的映射为调和映射，作为推论得到了下列定理。极小子流形的高斯映射是调和的。
. In this paper it is shown that the tension field of the Gauss map can be identified with the covariant derivative of the mean curvature vector field. Since a map with vanishing tension field is called harmonic the following theorem is obtained as a corollary. The Gauss map of a minimal submanifold is harmonic.