伪欧氏空间的子流形的二次表示

QUADRIC REPRESENTATION OF A SUBMANIFOLD IN A PSEUDO-EUCLIDEAN SPACE

设ｘ ：Ｍｎ →Ｅｍν 是伪黎曼流形到伪欧氏空间的等距浸入，ｘ～＝ ｘｘｔ（ｔ 表示转置） 称为Ｍｎ 的二次表示。研究了二次表示ｘ～和浸入ｘ 的关系。

If x:M n→E m ν is an isometric immersion of a pseudo-Riemamian manifold into a pseudo-Euclidean space then the map x～=xx t (t denotes transpose) is called the quadric representation of M n.We study some general results about the quadric representation.