第二基本形式 meaning in Chinese
second fundamental form
Examples
- To discuss curve of the second elemental form
曲面的第二基本形式研讨 - The article not only presents the first , second and third elemental form of pseudo sphere , but also the third elemental form of conoid and curve
摘要不但给出了伪球面的第一基本形式、第二基本形式及第三基本形式，而且给出了一般曲面的第三基本形式。 - 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。 - This paper contains three chapters . we discuss the pinching problems on the length of the second fundamental form of compact space - like submanifolds mn with unit parallel mean curvature vector in the de sitter space spn + p . in particular , a sufficient condition for mn with constant scalar curvature to be totally umbilical is given
讨论desitter空间s _ p ~ ( n + p )中具有平行的单位平均曲率向量的紧致类空子流形m ~ n的第二基本形式长度拼挤问题，给出了具有常数量曲率的这种子流形是全脐球面的一个充分条件。