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Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: minimization

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Publication:5362966
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DOI10.1112/plms.12047zbMath1378.35121arXiv1411.4396OpenAlexW3125720622MaRDI QIDQ5362966

Andrea Malchiodi, Norihisa Ikoma, Andrea Mondino

Publication date: 5 October 2017

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

Full work available at URL: https://arxiv.org/abs/1411.4396


zbMATH Keywords

Lyapunov-Schmidt reductionWillmore functionalWillmore immersion


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)


Related Items (3)

On shape dependence of holographic entanglement entropy in \(\mathrm{AdS}_{4}/CFT_{3}\) ⋮ Double bubbles with high constant mean curvatures in Riemannian manifolds ⋮ Clifford Tori and the singularly perturbed Cahn-Hilliard equation




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