1.2k citations
- Universitat Politècnica de ValènciaES44 papers
- Instituto Universitario de Matemáticas y AplicacionesES29 papers
- Universitat de ValènciaES18 papers
- Universidad de ValladolidES15 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- Aalborg UniversityDK12 papers
- Universidad Complutense de MadridES12 papers
- Universitat Politècnica de CatalunyaES11 papers
- Barcelona Supercomputing CenterES8 papers
- Technical University of DenmarkDK8 papers
- Universidad de GranadaES8 papers
- Universitat de BarcelonaES8 papers
23 papers · 1 filter
Evolution of the Torsional Rigidity under Geometric Flows
Vicent Gimeno i Garcia, Fernán González-Ibáñez
This paper explores the behavior of the torsional rigidity of a precompact domain as the ambient manifold evolves under a geometric flow. Specifically, we derive bounds on torsiona…
Parabolicity of invariant Surfaces
Andrea Del Prete, Vicent Gimeno i Garcia
We present a clear and practical way to characterize the parabolicity of a complete immersed surface that is invariant with respect to a Killing vector field of the ambient space.
Lower Bounds for the Volume with Upper Bounds for the Ricci Curvature in Dimension Three
Vicent Gimeno
In this note we provide several lower bounds for the volume of a geodesic ball within the injectivity radius in a -dimensional Riemannian manifold assuming only upper bounds for…
The curve shortening flow with density of a spherical curve in codimension two
Francisco Viñado-Lereu
In the present paper we carry out a systematic study about the flow of a spherical curve by the mean curvature flow with density in a 3-dimensional rotationally symmetric space wit…
A lower Bound for the Area of Plateau Foams
V. Gimeno, S. Markvorsen, J. M. Sotoca
Real foams can be viewed as a geometrically well-organized dispersion of more or less spherical bubbles in a liquid. When the foam is so drained that the liquid content significant…
Dirichlet spectrum and Green function
G. Pacelli Bessa, Vicent Gimeno, Luquesio P. Jorge
In the first part of this article we obtain an identity relating the radial spectrum of rotationally invariant geodesic balls and an isoperimetric quotient $\sum 1/λ_{i}^{\rm rad}=…