关于常曲率空间中曲面无穷小I-等距的一个定理

数学季刊 ›› 1997, Vol. 12 ›› Issue (4): 63-69.

关于常曲率空间中曲面无穷小I-等距的一个定理

Chongqing Institute of Industry and Management,Chongqing,400050； Wuhan Untversity,Wuhan,430072； Chongqing Institute of Industry and Management,Chongqing,400050

收稿日期:1996-07-23 出版日期:1997-12-30 发布日期:2024-11-15

A Theorem on Infinitesimal I-isometry of Surfaces Immersed in a Space with Constant Curvature

Chongqing Institute of Industry and Management,Chongqing,400050； Wuhan Untversity,Wuhan,430072； Chongqing Institute of Industry and Management,Chongqing,400050

Received:1996-07-23 Online:1997-12-30 Published:2024-11-15

摘要/Abstract

摘要： In this paper we discuss the infinitesimal I-isometric deformations of surfaces immersed in a space with constant curvature. We obtain a sufficient condition for the deformation vector field to be zero vector field which is generalization of the results in [1] and [2].

关键词: infinitesimal isometric deformation, mean curvature vector, sectional curvature ,

Abstract: In this paper we discuss the infinitesimal I-isometric deformations of surfaces immersed in a space with constant curvature. We obtain a sufficient condition for the deformation vector field to be zero vector field which is generalization of the results in [1] and [2].

Key words: infinitesimal isometric deformation, mean curvature vector, sectional curvature ,

中图分类号:

O186

程新跃, 杨文茂, 邱敦元. 关于常曲率空间中曲面无穷小I-等距的一个定理[J]. 数学季刊, 1997, 12(4): 63-69.

Cheng Xinyue, Yang Wenmao, Qiu Dunyuan. A Theorem on Infinitesimal I-isometry of Surfaces Immersed in a Space with Constant Curvature[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(4): 63-69.

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