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Abstract and Applied Analysis
Volume 2013, Article ID 398158, 6 pages
Research Article

A Class of Weingarten Surfaces in Euclidean 3-Space

Yu Fu1 and Lan Li2

1School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, China
2College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China

Received 21 April 2013; Revised 31 July 2013; Accepted 19 August 2013

Academic Editor: Ondřej Došlý

Copyright © 2013 Yu Fu and Lan Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The class of biconservative surfaces in Euclidean 3-space are defined in (Caddeo et al., 2012) by the equation for the mean curvature function and the Weingarten operator . In this paper, we consider the more general case that surfaces in satisfying for some constant 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 .