A Class of Weingarten Surfaces in Euclidean 3-Space

Yu Fu and Lan Li

Abstract and Applied Analysis, 2013, vol. 2013, 1-6

Abstract:

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 .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:398158

DOI: 10.1155/2013/398158

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