377 citations · 667 across the 39 of their papers we have counts for
19 papers · 1 filter
New Explicit Eigenfunctions of the stability operator on some minimal hypersurfaces
Oscar Perdomo
For any -dimensional compact minimal hypersurface of the -dimensional sphere, we have that the coordinate functions of the Gauss map are eigenfunctions of the stability o…
CMC hypersurfaces with two principal curvatures
Oscar Perdomo
This paper explains the construction of all hypersurfaces with constant mean curvature -- cmc -- and exactly two principal curvatures on any space form endowed with a semi-riemanni…
Spectrum of the Laplacian and the Jacobi operator on rotational cmc hypersurfaces of spheres
Oscar Perdomo
Let be a compact cmc rotational hypersurface of the -dimensional Euclidean unit sphere. Denote by the square of th…
On the index of minimal hypersurfaces of spheres
Oscar M. Perdomo
Let be a compact minimal hypersurface of the -dimensional Euclidean unit sphere. Let us denote by the square of the norm of the…
Algebraic cmc hypersurface of order 3 in Euclidean spaces
Oscar Perdomo, Vladimir G. Tkachev
We prove that there are not algebraic hypersurfaces of degree 3 in with non zero constant mean curvature.
Equilibrium Shapes of Cylindrical Rotating Liquid Drops
Bennett Palmer, Oscar Perdomo
See http://www.youtube.com/watch?v=izbGXdjvK_I for a YouTube video showing part of the results in this paper.We will consider surfaces whose mean curvature at a point is a linear f…