2022
DOI: 10.48550/arxiv.2206.06305
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Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds

Fernando Manfio,
Julien Roth,
Abhitosh Upadhyay

Abstract: We prove Reilly-type upper bounds for divergence-type operators of the second order as well as for Steklov problems on submanifolds of Riemannian manifolds of bounded sectional curvature endowed with a weighted measure.

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