Schrödinger operators and index bounds for minimal submanifolds
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Publication:1344002
DOI10.1216/rmjm/1181072383zbMath0818.53075OpenAlexW2083371692MaRDI QIDQ1344002
Publication date: 1 August 1995
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181072383
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items
Concentration of total curvature of minimal surfaces in \(\mathbb {H}^2\times \mathbb R\), Smooth compactness of 𝑓-minimal hypersurfaces with bounded 𝑓-index, Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area, Comparison between second variation of area and second variation of energy of a minimal surface, Bubbling analysis and geometric convergence results for free boundary minimal surfaces, On minimal hypersurfaces with finite harmonic indices
Cites Work
- Unnamed Item
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- Number of bound states and estimates on some geometric invariants
- On the Schrödinger equation and the eigenvalue problem
- Eigenvalue estimates with applications to minimal surfaces
- The area of the generalized Gaussian image and the stability of minimal surfaces in \(S^ n\) and \(R^ n\).
- Heat kernel estimates and lower bound of eigenvalues
- Lower bounds for the eigenvalues of Riemannian manifolds
- Remarks on the stability of minimal submanifolds of \(\mathbb R^n\)
- An index characterization of the catenoid and index bounds for minimal surfaces in \(R^ 4\)
- Complete minimal surfaces in Euclidean \(n\)-spaces
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn
