On stable surfaces of constant gauss curvature in space forms

1995 ◽  
Vol 13 (2) ◽  
pp. 141-148 ◽  
Author(s):  
Martin Traizet
Keyword(s):  
Gauss Curvature ◽  
Space Forms ◽  
Constant Gauss Curvature ◽  
Stable Surfaces

scholarly journals Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature

2014 ◽  
Vol 12 (9) ◽  
Author(s):  
Rafael López ◽  
Esma Demir
Keyword(s):  
Minkowski Space ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Gauss Curvature ◽  
First Case ◽  
Helicoidal Surfaces ◽  
Constant Gauss Curvature

AbstractWe classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature whose generating curve is a the graph of a polynomial or a Lorentzian circle. In the first case, we prove that the degree of the polynomial is 0 or 1 and that the surface is ruled. If the generating curve is a Lorentzian circle, we prove that the only possibility is that the axis is spacelike and the center of the circle lies on the axis.

scholarly journals Strongly stable surfaces in sub-Riemannian 3-space forms

2017 ◽  
Vol 155 ◽  
pp. 115-139 ◽  
Author(s):  
Ana Hurtado ◽  
César Rosales
Keyword(s):  
Space Forms ◽  
Stable Surfaces

Conformal minimal two-spheres with constant Gauss curvature inU(3)

1998 ◽  
Vol 43 (12) ◽  
pp. 994-997
Author(s):  
Jiao Xiaoxiang ◽  
Peng Jiagui
Keyword(s):  
Gauss Curvature ◽  
Constant Gauss Curvature
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