A Class of Weingarten Surfaces in Euclidean 3-Space
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-29
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The class of biconservative surfaces in Euclidean 3-space ?3 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 ?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 ?3.
American Psychological Association (APA)
Fu, Yu& Li, Lan. 2013. A Class of Weingarten Surfaces in Euclidean 3-Space. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-468988
Modern Language Association (MLA)
Fu, Yu& Li, Lan. A Class of Weingarten Surfaces in Euclidean 3-Space. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-468988
American Medical Association (AMA)
Fu, Yu& Li, Lan. A Class of Weingarten Surfaces in Euclidean 3-Space. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-468988
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468988