摘要
本文依李齐曲率取值，分述了浸入子流形的某些特征．证明了如下结论：如果Ｒｉｃ（ｘＡ，ｘＡ）≥（ｎ－１－１１＋ｎ－１２ｎ）ｘＡ２，则Ｍｎ为Ｓｎ＋ｐ（１）中全测地的，或为Ｓ４的Ｖｅｒｏｎｅｓｅ曲面．
In this paper, we prove that the characters of mimimal submanifolds depends on the Ricci curvature. As a result it is prored that if the Ricci curvature of M n satisfies Ric(x A,x A)≥(n-1-11+n-12n)‖△x A‖ 2, then M n is totally geodesic, or a Veronese surface in S 4.
