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Spacelike Weingarten Surfaces inR13and the Sine-Gordon Equation

โœ Scribed by Chen Weihuan; Li Haizhong

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
190 KB
Volume
214
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper we will establish a relation between spacelike Weingarten surfaces with condition K q 2 mH s m 2 q l 2 in R 3 and solutions of the sine-Gordon 1 equation. Moreover, we will give a method to construct new spacelike Weingarten surfaces from a given spacelike Weingarten surface in R 3 by Backlund transforma -1 tion. แฎŠ 1997 Academic Press

1. SPACELIKE WEINGARTEN SURFACES

Let R 3 be a 3-dimensional Minkowski space. We consider a spacelike

in which K is its Gauss curvature, H the mean curvature, and m, l are constants with m 2 q l 2 ) 0.

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