Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds

Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds

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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Veröffentlicht in:Annals of global analysis and geometry 2022-10, Vol.62 (3), p.489-505
Hauptverfasser: Manfio, Fernando, Roth, Julien, Upadhyay, Abhitosh
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Computer science
Differential Geometry
Eigenvalues
Geometry
Global Analysis and Analysis on Manifolds
Inequality
Manifolds (mathematics)
Mathematical Physics
Mathematics
Mathematics and Statistics
Riemann manifold
Upper bounds
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Beschreibung
Zusammenfassung: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.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-022-09862-0