On the index of minimal surfaces with free boundary in a half-space

DOI10.1007/s12220-022-01106-8OpenAlexW4312057141MaRDI QIDQ2110287

Shuli Chen

Publication date: 21 December 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10588

zbMATH Keywords

Morse indexminimal surfacesfree boundary

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Über die Dimension einer Minimalfläche und zur Ungleichung von St. Cohn-Vossen
• Morse index and Gauss maps of complete minimal surfaces in Euclidean 3- space
• Compactness analysis for free boundary minimal hypersurfaces
• Complete minimal surfaces with index one and stable constant mean curvature surfaces
• Index characterization for free boundary minimal surfaces
• The index and nullity of the Lawson surfaces \(\xi_{g,1}\)
• Bubbling analysis and geometric convergence results for free boundary minimal surfaces
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes

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