Uniqueness of Clifford torus with prescribed isoperimetric ratio

DOI10.1090/proc/15750zbMath1485.53008arXiv2003.13116OpenAlexW3013983766MaRDI QIDQ5027218

Jingmin Chen, Thomas P.-Y. Yu

Publication date: 4 February 2022

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

Full work available at URL: https://arxiv.org/abs/2003.13116

zbMATH Keywords

uniquenesspositivityClifford torusspecial functionsWillmore energyMöbius geometryP-recurrenceCanham-Evans-Helfrich modelMarques-Neves theorem

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Hypergeometric functions (33C99) Differential geometry of submanifolds of Möbius space (53A31) Applications of differential geometry to biology (53Z10)

Related Items

Sequence positivity through numeric analytic continuation: uniqueness of the Canham model for biomembranes, Embedded Delaunay tori and their Willmore energy, Computing error bounds for asymptotic expansions of regular P-recursive sequences, A hypergeometric proof that 𝖨𝗌𝗈 is bijective

Uses Software

• Asymptotics
• WMINCON

Cites Work

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