Vicente Miquel

activity

20102023

most citedInscribed and circumscribed radius of

κ

-convex hypersurfaces in Hadamard manifolds

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.DG2023

Geodesic loops on tetrahedra in spaces of constant sectional curvature

Alexander A. Borisenko, Vicente Miquel

Geodesic loops on polyhedra were studied only for Euclidean space and it was known that there are no simple geodesic loops on regular tetrahedra. Here we prove that: 1) On the sphe…

math.DG2023★ 1 cited

Inscribed and circumscribed radius of $κ$ -convex hypersurfaces in Hadamard manifolds

Alexander A. Borisenko, Vicente Miquel

Let $P$ be a convex polygon in a Hadamard surface $M$ with curvature $K$ satisfying $- k_{2}^{2} \geq K \geq - k_{1}^{2}$ . We give an upper bound of the circumradius of $P$ in terms of a lower…

math.DG2023

A discrete Blaschke Theorem for convex polygons in $2$ -dimensional space forms

Alexander Borisenko, Vicente Miquel

Let $M$ be a $2$ -space form. Let $P$ be a convex polygon in $M$ . For these polygons, we define (and justify) a curvature $κ_{i}$ at each vertex $A_{i}$ of the polygon and and prove the…

math.DG2016

Type I singularities in the curve shortening flow associated to a density

Vicente Miquel, Francisco Viñado-Lereu

We define Type I singularities for the mean curvature flow associated to a density $ψ$ ( $ψ$ MCF) and describe the blow-up at singular time of these singularities. Special attention…

math.DG2010

Volume preserving mean curvature flow of revolution hypersurfaces between two equidistants

Esther Cabezas-Rivas, Vicente Miquel

In a rotationally symmetric space $\oM$ around an axis A (whose precise definition includes all real space forms), we consider a domain $G$ limited by two equidistant hypersurfaces…