19 citations · 64 across the 23 of their papers we have counts for
4 papers · 1 filter
Large time behavior of the on-diagonal heat kernel for minimal submanifolds with polynomial volume growth
Vicent Gimeno
In this paper we provide a lower bound for the long time on-diagonal heat kernel of minimal submanifolds in a Cartan-hadamard ambient manifold assuming that the submanifold is of p…
Jellett-Minkowski's formula revisited. Isoperimetric inequalities for submanifolds in an ambient manifold with bounded curvature
Vicent Gimeno
In this paper we provide an extension to the Jellett-Minkowski's formula for immersed submanifolds into ambient manifolds which possesses a pole and radial curvatures bounded from…
Geometric approach to non-relativistic Quantum Dynamics of mixed states
Vicent Gimeno, Jose Sotoca
In this paper we propose a geometrization of the non-relativistic quantum mechanics for mixed states. Our geometric approach makes use of the Uhlmann's principal fibre bundle to de…
On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
Vicent Gimeno
The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show…