1 citations · 1 across the 5 of their papers we have counts for
5 papers
The stability index and Yau's conjecture for Carlotto-Schulz minimal hypertori
Oscar Perdomo
Recently, for any n>1, Carlotto and Schulz showed the existence of a minimal embedding in the 2n-dimensional unit sphere. In this paper, we show that the stability index of these e…
Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance
Oscar Perdomo
The round Taylor method uses rational arithmetic, allowing control of both round-off and truncation errors in approximating solutions of differential equations. In this paper, we e…
Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II
Oscar Perdomo
In R^3, let M be the infinite union of unit spheres whose centers lie at even integers on the x-axis; every pair of consecutive spheres touches at (2m+1, 0, 0). Desingularizing the…
Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part I
Oscar Perdomo
In this paper, we describe a family of embedded hypersurfaces with constant mean curvature (CMC) in the -dimensional unit sphere. In the process, we provide evidence for new…
Lagrange points of Euler's solutions of the 3-body problem
Oscar Perdomo
In this paper we classify the central configurations of the circular restricted 4-body problem with three primaries at the collinear configuration of the 3-body problem and an infi…