关于具有一个共形变分的紧致子流形

ON COMPACT SUBMANIFOLDS WITH A CONFORML VARIATION

研究了浸入一个常曲率黎曼流形中的具有一个共形变分的紧致子流形，得到了几个使这种子流形成为球面子流形或全脐子流形的充分条件．

The compact submanifolds with a conformal variation immersed in a Riemannian manifold of con-stant curvature are studied,And some sufficient conditions for such submanifolds to be spherical or to-tally umbilical submanifold are obtainel.