Spectral radius, index estimates for Schrödinger operators and geometric applications

DOI10.1016/j.jfa.2009.01.021zbMath1179.34098arXiv1003.5798OpenAlexW2022956564MaRDI QIDQ1011418

Luciano Mari, Bruno Bianchini, Marco Rigoli

Publication date: 8 April 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5798

zbMATH Keywords

spectral radiusminimal surfacesindex estimatespositioning of zeroes

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (11)

Stability of mean curvature flow solitons in warped product spaces ⋮ Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers ⋮ Remarks on mean curvature flow solitons in warped products ⋮ Rigidity of complete self-shrinkers whose tangent planes omit a nonempty set ⋮ From holography to the geometry of the spacetime ⋮ On the geometry of Einstein-type structures ⋮ Some geometric properties of hypersurfaces with constant $r$-mean curvature in Euclidean space ⋮ Essential spectrum of the weighted Laplacian on noncompact manifolds and applications ⋮ Myers-type theorems and some related oscillation results ⋮ Stability properties and topology at infinity of \(f\)-minimal hypersurfaces ⋮ On some aspects of oscillation theory and geometry

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