Huisken-Yau-type uniqueness for area-constrained Willmore spheres

DOI10.1215/00127094-2023-0045zbMATH Open1546.53067MaRDI QIDQ6566420

Jan Metzger, Felix Schulze, Michael Eichmair, Thomas Koerber

Publication date: 3 July 2024

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hawking massasymptotically flat manifoldsarea-constrained Willmore surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

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• On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
• Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds
• Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: minimization
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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