脐的 meaning in Chinese
hilar
omphalic
umbilical
Examples
- The complete hypersurfaces with constant mean curvature in locally symmatric manifold are investigated , a characteristric theorem of complete hypersurface in locally symmatric manifold is obtained
摘要研究局部对称黎曼流形中的具有常中曲率的完备超曲面,得到了这类曲面全脐的一个结果。 - In the case of closed surface , we obtain the following result : theorem 3 . 1 let m be a closed surface with parallel mean curvature direction in r4 ( ) , which admitting an isometric deformation preserving mean curvature
在闭的情况下,我们得到如下结果:定理3 . 1设m是r4 (约中平均曲率方向平行、非脐的闭曲面.若m容有保持平均曲率方向平行、且保平均曲率的等距变形曲面应,则m有常平均曲率 - 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。