Special Weingarten surfaces foliated by circles

被引：19
|
作者：
Lopez, Rafael [1 ]
机构：
[1] Univ Granada, Dept Geometr & Topol, Granada 18071, Spain
来源：
MONATSHEFTE FUR MATHEMATIK | 2008年 / 154卷 / 04期
关键词：
cyclic surface; Weingarten surface; mean and Gauss curvature;
D O I：
10.1007/s00605-008-0557-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study surfaces in Euclidean 3-space foliated by pieces of circles that satisfy a Weingarten condition of type aH + bK = c, where a,b and c are constant, and H and K denote the mean curvature and the Gauss curvature respectively. We prove that such a surface must be a surface of revolution, one of the Riemann minimal examples, or a generalized cone.
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页码：289 / 302
页数：14
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