V. Miquel

activity

20062023

most citedBernstein theorem for translating solitons of hypersurfaces

2 citations · 4 across the 14 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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…

Geodesic loops on tetrahedra in spaces of constant sectional curvature

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

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

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

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