A note on Willmore minimizing Klein bottles in Euclidean space

DOI10.1016/j.aim.2017.08.021zbMath1431.53011arXiv1606.04745OpenAlexW2963036460MaRDI QIDQ2404630

Elena Mäder-Baumdicker, Jonas Hirsch

Publication date: 19 September 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04745

zbMATH Keywords

eigenvalueWillmore surfacesKlein bottleextremal metric

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Related Items (1)

On the Morse index of branched Willmore spheres in 3-space

Cites Work

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• The Willmore conjecture
• A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle
• Minimal immersions of surfaces by the first eigenfunctions and conformal area
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• Berger's isoperimetric problem and minimal immersions of surfaces
• A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
• Riemannian manifolds admitting isometric immersions by their first eigenfunctions
• Existence of minimizing Willmore Klein bottles in Euclidean four-space
• Min-max theory and the Willmore conjecture
• Spectral properties of bipolar minimal surfaces in \(\mathbb S^4\)
• Laplacian eigenvalue functionals and metric deformations on compact manifolds
• Minimal immersions of Riemannian manifolds
• Complete minimal surfaces in \(S^ 3\)
• Conformal geometry and complete minimal surfaces
• Triple Points and Surgery of Immersed Surfaces
• Extremal metrics for eigenvalues of the Laplace-Beltrami operator on surfaces
• Extremal Metric for the First Eigenvalue on a Klein Bottle

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