BÄCKLUND TRANSFORMATION ON SURFACES WITH CONSTANT MEAN CURVATURE IN R 2,1

2003 ◽  
Vol 23 (3) ◽  
pp. 369-376 ◽  
Author(s):  
Chou Tian ◽  
Kouhua Zhou ◽  
Yongbo Tian
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Bäcklund Transformation ◽  
Backlund Transformation

CHARACTERIZATIONS OF BIANCHI–BÄCKLUND TRANSFORMATIONS OF CONSTANT MEAN CURVATURE SURFACES

2005 ◽  
Vol 16 (02) ◽  
pp. 101-110 ◽  
Author(s):  
SHIMPEI KOBAYASHI ◽  
JUN-ICHI INOGUCHI
Keyword(s):  
Darboux Transformation ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Bäcklund Transformation ◽  
Bäcklund Transformations ◽  
Simple Type ◽  
Curvature Surface ◽  
Backlund Transformation ◽  
Constant Mean Curvature Surfaces ◽  
Constant Mean Curvature Surface

We show that Bianchi–Bäcklund transformation of a constant mean curvature surface is equivalent to the Darboux transformation and the simple type dressing.

scholarly journals On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds

2020 ◽  
Vol 2020 (767) ◽  
pp. 161-191
Author(s):  
Otis Chodosh ◽  
Michael Eichmair
Keyword(s):  
Scalar Curvature ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Existence Results ◽  
Asymptotically Flat ◽  
Weingarten Surfaces ◽  
Differential Geom

AbstractWe extend the Lyapunov–Schmidt analysis of outlying stable constant mean curvature spheres in the work of S. Brendle and the second-named author [S. Brendle and M. Eichmair, Isoperimetric and Weingarten surfaces in the Schwarzschild manifold, J. Differential Geom. 94 2013, 3, 387–407] to the “far-off-center” regime and to include general Schwarzschild asymptotics. We obtain sharp existence and non-existence results for large stable constant mean curvature spheres that depend delicately on the behavior of scalar curvature at infinity.

Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid

2016 ◽  
Vol 27 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Zi-Jian Xiao ◽  
Bo Tian ◽  
Hui-Ling Zhen ◽  
Jun Chai ◽  
Xiao-Yu Wu
Keyword(s):  
Bäcklund Transformation ◽  
Kdv Equation ◽  
Soliton Solutions ◽  
Backlund Transformation
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