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. … The first result of this paper gives
upper bounds for the first eigenvalue of the operator \(L_{T,f}\) for submanifolds of
Riemannian manifolds with sectional curvature bounded by above which generalizes
inequality (7) in the non-constant curvature case. Namely, we prove the following. … The …
well as for Steklov problems on submanifolds of Riemannian manifolds of bounded
sectional curvature endowed with a weighted measure. … The first result of this paper gives
upper bounds for the first eigenvalue of the operator \(L_{T,f}\) for submanifolds of
Riemannian manifolds with sectional curvature bounded by above which generalizes
inequality (7) in the non-constant curvature case. Namely, we prove the following. … The …
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.
Springer
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