Minimal hypersurfaces in ℝn × Sm

2019 ◽  
Vol 19 (1) ◽  
pp. 1-13
Author(s):  
Jimmy Petean ◽  
Juan Miguel Ruiz
Keyword(s):  
Mean Curvature ◽  
Constant Mean Curvature ◽  
Minimal Hypersurfaces ◽  
Constant Mean Curvature Hypersurfaces

Abstract We classify minimal hypersurfaces in ℝn × Sm with n, m ≥ 2 which are invariant by the canonical action of O(n) × O(m). We also construct compact and noncompact examples of invariant hypersurfaces of constant mean curvature. We show that the minimal hypersurfaces and the noncompact constant mean curvature hypersurfaces are all unstable.

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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