A Class of Weingarten Surfaces in Euclidean 3-Space

作者：Fu, Yu^*; Li, Lan

来源：Abstract and Applied Analysis, 2013, 398158.

DOI：10.1155/2013/398158

The class of biconservative surfaces in Euclidean 3-space E-3 are defined in (Caddeo et al., 2012) by the equation A(grad H) = -H grad H for the mean curvature function.. and the Weingarten operator A. In this paper, we consider the more general case that surfaces in E-3 satisfying A(grad H) = kH grad H for some constant k are called generalized bi-conservative surfaces. We show that this class of surfaces are linear Weingarten surfaces. We also give a complete classification of generalized bi-conservative surfaces in E-3.

• 出版日期2013
• 单位深圳大学