E^3中特殊Weingarten曲面的无穷小等距  

On Infinitesimal Isometric Deformations of Special Weingarten surfaces in E￣3

作　　者：周圣武[1] 

机构地区：[1]中国矿业大学数力系

出　　处：《中国矿业大学学报》1994年第2期106-117,共12页Journal of China University of Mining & Technology

摘　　要：Ａ·［１］用拟解折函数方法研究了Ｅ￣３中凸曲面的无穷小等距变形，得到了一些整体结果。本文用类似的万法讨论了Ｅ￣３中另一类曲面——特殊Ｗｅｉｎｇａｒｔｅｎ曲面的无穷小Ⅰ（Ⅱ，Ⅲ）－等距变形，给出了它们作为无穷小刚体运动的条件。A. Svec studied infinitesimal isometric deformations of convex surfaces inE￣3 and deduced some global properties of such a deformation by the method of quasi-analytic function. This paper discusses the infinitesimal isometric deformations ofanother class of surfaces,special weingarten surfaces,by a similar approach,and the conditions under which those deformations redude to an infinitesimal rigid body motion are given.

关 键 词：曲面 无穷小等距 无穷小刚体 

分 类 号：O186.11[理学—数学]