Small eigenvalues of Schr\"odinger operators over geometrically finite manifolds
Werner Ballmann, Panagiotis Polymerakis
TL;DR
This paper estimates the count of small eigenvalues of Schr"odinger operators on Riemannian vector bundles over geometrically finite manifolds, contributing to spectral geometry understanding.
Contribution
It provides new estimates for small eigenvalues of Schr"odinger operators in the context of geometrically finite manifolds.
Findings
Quantitative bounds on small eigenvalues
Extension of spectral estimates to geometrically finite manifolds
Insights into spectral properties of Schr"odinger operators
Abstract
We estimate the number of small eigenvalues of Schr\"odinger operators on Riemannian vector bundles over geometrically finite manifolds.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations