Constant Mean Curvature Hypersurfaces in the Steady State Space: A Survey

2017 ◽  
pp. 185-212 ◽  
Author(s):  
Rafael López
Keyword(s):  
Steady State ◽  
State Space ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Constant Mean Curvature Hypersurfaces

Spacelike Graphs of Prescribed Mean Curvature in the Steady State Space

2016 ◽  
Vol 16 (4) ◽  
Author(s):  
Rafael López
Keyword(s):  
Steady State ◽  
Dirichlet Problem ◽  
State Space ◽  
Bounded Domain ◽  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Curvature Equation ◽  
Prescribed Mean Curvature ◽  
Mean Curvature Equation

AbstractWe study the Dirichlet problem of the constant mean curvature equation in the steady state space over a bounded domain of a slice. Under suitable conditions on the convexity of the domain, we prove the existence of a spacelike graph with constant mean curvature

scholarly journals Gauss map and the topology of constant mean curvature hypersurfaces of $$\mathbb {S}^{7}$$ and $$\mathbb {CP}^{3}$$

2019 ◽  
Vol 163 (1-2) ◽  
pp. 279-290
Author(s):  
Fidelis Bittencourt ◽  
Pedro Fusieger ◽  
Eduardo R. Longa ◽  
Jaime Ripoll
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Gauss Map ◽  
Constant Mean Curvature Hypersurfaces

scholarly journals Stable constant mean curvature hypersurfaces

2007 ◽  
Vol 135 (10) ◽  
pp. 3359-3367 ◽  
Author(s):  
Maria Fernanda Elbert ◽  
Barbara Nelli ◽  
Harold Rosenberg
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Constant Mean Curvature Hypersurfaces
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