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伪黎曼球面和伪双曲空间的子流形
引用本文:刘会立.伪黎曼球面和伪双曲空间的子流形[J].辽宁大学学报(自然科学版),1992,19(2):23-27.
作者姓名:刘会立
作者单位:东北工学院数学系
摘    要:本文讨论伪欧几里得空间中的子流形,利用子流形的径矢与子流形法截面之间的关系,给出子流形含于伪球面或伪双曲空间的几个充要条件。

关 键 词:伪欧氏空间  子流形  法截面

Submanifolds of Pseudo-Riemannian Sphere and Pseudo-Hyperbolic Space
Liu Huili.Submanifolds of Pseudo-Riemannian Sphere and Pseudo-Hyperbolic Space[J].Journal of Liaoning University(Natural Sciences Edition),1992,19(2):23-27.
Authors:Liu Huili
Institution:Liu Huili Department of Mathematics Northeast University of Technology
Abstract:In this paper, we considered a submanifolds in pseudoEuclidean space. With the relations between the position vector field of submanifold and its normal section, The necessary and sufficient conditions of submanifolds in pseudo-Riemannian sphere and in pseudohyperbolic space is given.
Keywords:Pseudo-Euclidean space  Nondegenerate submanifold  Normal section  Support function  
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