2 citations · 4 across the 14 of their papers we have counts for
17 papers
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…
Inscribed and circumscribed radius of -convex hypersurfaces in Hadamard manifolds
Alexander A. Borisenko, Vicente Miquel
Let be a convex polygon in a Hadamard surface with curvature satisfying . We give an upper bound of the circumradius of in terms of a lower…
A discrete Blaschke Theorem for convex polygons in -dimensional space forms
Alexander Borisenko, Vicente Miquel
Let be a -space form. Let be a convex polygon in . For these polygons, we define (and justify) a curvature at each vertex of the polygon and and prove the…
Stability property and Dirichlet problem for translating solitons
Li Ma, Vicente Miquel
In this paper, we prove that the infimum of the mean curvature is zero for a translating solitons of hypersurface in $\re^{n+k}$. We give some conditions under which a complete hyp…
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 (MCF) and describe the blow-up at singular time of these singularities. Special attention…
Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane
Ildefonso Castro, Ana M. Lerma, Vicente Miquel
We describe the evolution under the mean curvature flow of embedded Lagrangian spherical surfaces in the complex Euclidean plane . In particular, we answer the Questi…