19 citations · 64 across the 23 of their papers we have counts for
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math.DG2013
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…
math.DG2013★ 1 cited
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…
math.DG2013★ 9 cited
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…