Spectral properties of bipolar surfaces to Otsuki tori
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Publication:2450829
DOI10.4171/JST/63zbMath1291.58005arXiv1205.6316OpenAlexW2963149737MaRDI QIDQ2450829
Publication date: 21 May 2014
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.6316
Related Items (8)
Index of minimal surfaces in the 3-sphere ⋮ Bipolar Lawson tau-surfaces and generalized Lawson tau-surfaces ⋮ Maximization of Laplace−Beltrami eigenvalues on closed Riemannian surfaces ⋮ On branched minimal immersions of surfaces by first eigenfunctions ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane ⋮ An isoperimetric inequality for Laplace eigenvalues on the sphere ⋮ Generalized Lawson tori and Klein bottles
Cites Work
- Upper bounds for eigenvalues of conformal metrics
- Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds
- A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle
- Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume)
- Berger's isoperimetric problem and minimal immersions of surfaces
- A characterization of bipolar minimal surfaces in \(S^4\)
- Riemannian manifolds admitting isometric immersions by their first eigenfunctions
- Spectral properties of bipolar minimal surfaces in \(\mathbb S^4\)
- Laplacian eigenvalue functionals and metric deformations on compact manifolds
- Complete minimal surfaces in \(S^ 3\)
- Minimal submanifolds of low cohomogeneity
- Riemannian Metrics with Large λ 1
- Extremal spectral properties of Lawson tau-surfaces and the Lam\'e equation
- Extremal spectral properties of Otsuki tori
- Extremal Metric for the First Eigenvalue on a Klein Bottle
- Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
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