A new approach to the Fraser-Li conjecture with the Weierstrass representation formula

DOI10.1090/proc/15630zbMath1490.53013arXiv2009.09625OpenAlexW3157383656WikidataQ113822943 ScholiaQ113822943MaRDI QIDQ5157809

Eungbeom Yeon, Jae Hoon Lee

Publication date: 20 October 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09625

zbMATH Keywords

Liouville equationWeierstrass representation formulafree boundary minimal surfacesFraser-Li conjecture

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)

Related Items (2)

Free boundary minimal annuli immersed in the unit ball ⋮ Some recent developments on the Steklov eigenvalue problem

Cites Work

• Embedded minimal tori in \(S^3\) and the Lawson conjecture
• The Liouville equation in an annulus
• Stationary partitioning of convex bodies
• Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary
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