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arXiv · 2206.06305

Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds

Fernando Manfio·Julien Roth·Abhitosh Upadhyay
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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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Fernando Manfio, Julien Roth, Abhitosh Upadhyay. 2022-06-13. Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds. https://doi.org/10.1007/s10455-022-09862-0

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