A Class of Weingarten Surfaces in Euclidean 3‐Space

Yu Fu and Lan Li

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The class of biconservative surfaces in Euclidean 3‐space 𝔼3 are defined in (Caddeo et al., 2012) by the equation A(grad H) = −H grad H for the mean curvature function H and the Weingarten operator A. In this paper, we consider the more general case that surfaces in 𝔼3 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 𝔼3.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/398158

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:398158

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().