ricci曲率 meaning in English

ricci curvature

Which generalizes the results obtained by h . alencar and m . do carrno . second , we prove a pinching theorem on the ricci curvature of the subrnanifold
Docarmo在[ 1 ]中的结果，另一个结果是关于ricci曲率满足处处大于或等于的条件下子流形的分布定理。
As a result , ( i ) let k ( x ) be the function assign to each point x of m the infinimum of the sectional curvatures of m at that ponit , if k ( x ) satisfies , then m is totally umbilical . ( ii ) let q ( x ) be the function assign to each point x of m the infinimum of the ricci curvatures of m at that ponit , if q ( x ) satisfies q > 1 / 4 ( n - 2 ) ( c + 4h2 ) - 1 / 4nc , then m is totally umbilical , ( iii ) let a be the square length of the second fundermental form , if satisfies , then m is totally umbilical
) )中具有非零平行法平均曲率向量的紧致全实伪脐子流形m ~ n ，得到了( ? )如果m ~ n在其点x的截面曲率的下确界函数k ( x )满足条件：则m ~ n是全脐的( ? )如果m ~ n在其点x的ricci曲率的下确界函数q ( x )满足条件：则m ~ n是全脐的。 ( ? )如果m在m中的第二基本形式h长度的平方满足条件：则m ~ n是全脐的。