19 citations · 64 across the 23 of their papers we have counts for
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math.DG2021
The spectrum of the Laplacian and volume growth of proper minimal submanifolds
G. Pacelli Bessa, Vicent Gimeno, Panagiotis Polymerakis
We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of in terms of their volume growth. Our result improves the…
math.DG2021
First Eigenvalue of the Laplacian of a Geodesic Ball and Area-Based Symmetrization of its Metric Tensor
Vicent Gimeno, Erik Sarrion-Pedralva
Given a Riemmanian manifold, we provide a new method to compute a sharp upper bound for the first eigenvalue of the Laplacian for the Dirichlet problem on a geodesic ball of radius…