A classification of minimal translation surfaces in Minkowski space
Volume 11, Issue 3, pp 437--443
http://dx.doi.org/10.22436/jnsa.011.03.12
Publication Date: February 28, 2018
Submission Date: July 06, 2017
Revision Date: December 31, 2017
Accteptance Date: January 07, 2018
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Authors
Dan Yang
- School of Mathematics, Liaoning University, Shenyang, P. R. China.
Wei Dan
- School of Mathematics and Statistic, Guangdong University of Finance and Economics, Guangzhou, P. R. China.
- Faculty of Arts and Sciences, Shenzhen Technology University, Shenzhen, P. R. China.
Yu Fu
- School of Mathematics, Dongbei University of Finance and Economics, Dalian, P. R. China.
Abstract
Minimal surfaces are well known as a class of surfaces with
vanishing mean curvature which minimize area within a given boundary
configuration since 19th century. This fact was implicitly proved by
Lagrange for nonparametric surfaces in 1760, and then by Meusnier in
1776 who used the analytic expression for the mean curvature. Mathematically, a minimal surface corresponds to the solution of a
nonlinear partial differential equation. By solving some
differential equations, in this paper we give a complete and
explicit classification of minimal translation surfaces in an
\(n\)-dimensional Minkowski space.
Share and Cite
ISRP Style
Dan Yang, Wei Dan, Yu Fu, A classification of minimal translation surfaces in Minkowski space, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 3, 437--443
AMA Style
Yang Dan, Dan Wei, Fu Yu, A classification of minimal translation surfaces in Minkowski space. J. Nonlinear Sci. Appl. (2018); 11(3):437--443
Chicago/Turabian Style
Yang, Dan, Dan, Wei, Fu, Yu. "A classification of minimal translation surfaces in Minkowski space." Journal of Nonlinear Sciences and Applications, 11, no. 3 (2018): 437--443
Keywords
- Minimal surfaces
- translation surfaces
- Minkowski space
MSC
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