共形映射下子流形的不变性

Invariance of Submanifold under Conformal Map

用循环联络的方法研究了流形之间的共形映射，得到了共形映射下全脐子流形保持不变，还得到了极小子流形和全测地子流形保持不变的条件。

Uses the recurrent connections to study the conformal map between the manifolds and gets the invariance of the totally ambilical submanifold and the invariant conditions of the minimal submanifold and the totally geodesic submanifold under the conformal map.