7 citations · 11 across the 4 of their papers we have counts for
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CMC hypersurfaces on riemannian and semi-riemannian manifolds
Oscar Perdomo
In this paper we show explicit examples of several families of immersions with constant mean curvature and non constant principal curvatures, in semi-riemannian manifolds with cons…
Embedded cmc hypersurfaces on hyperbolic spaces
Oscar M. Perdomo
In this paper we will prove that for every integer n>1, there exists a real number H_0<-1 such that every H\in (-\infty,H_0) can be realized as the mean curvature of a embedding of…
Algebraic zero mean curvature varieties in semi-riemannian manifolds
Oscar Perdomo
In this paper we provide a family of algebraic space-like surfaces in the three dimensional anti de Sitter space that shows that this Lorentzian manifold admits algebraic maximal e…
Embedded constant mean curvature hypersurfaces on spheres
Oscar Perdomo
Let m>1 and n>1 be any pair of integers. In this paper we prove that if H is between the numbers \cot(\fracπ{m}) and b_{m,n}=\frac{(m^2-2)\sqrt{n-1}}{n\sqrt{m^2-1}}, then, there ex…