Local foliation of manifolds by surfaces of Willmore-type

DOI10.5802/aif.3375zbMath1472.53062arXiv1806.00465OpenAlexW3156129913WikidataQ125661983 ScholiaQ125661983MaRDI QIDQ2027744

Felix Schulze, Tobias Lamm, Jan Metzger

Publication date: 28 May 2021

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00465

zbMATH Keywords

Willmore surfacesprincipal curvatureslocal foliationsmall geodesic sphere

Mathematics Subject Classification ID

Global submanifolds (53C40) Foliations (differential geometric aspects) (53C12)

Related Items (3)

Local foliations by critical surfaces of the Hawking energy and small sphere limit ⋮ Double bubbles with high constant mean curvatures in Riemannian manifolds ⋮ Local space time constant mean curvature and constant expansion foliations

Cites Work

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• Foliations of asymptotically flat manifolds by surfaces of Willmore type
• Some results about the existence of critical points for the Willmore functional
• Foliation by constant mean curvature spheres
• Regularity theory for mean curvature flow
• Willmore spheres in compact Riemannian manifolds
• The conformal Willmore functional: a perturbative approach
• Concentration of small Willmore spheres in Riemannian 3-manifolds
• Minimizers of the Willmore functional with a small area constraint
• Bubble tree of branched conformal immersions and applications to the Willmore functional
• Small Surfaces of Willmore Type in Riemannian Manifolds
• The Yamabe problem
• Sharp local isoperimetric inequalities involving the scalar curvature
• Concentration of CMC Surfaces in a 3-manifold
• Möbius orthogonality for generalized Morse-Kakutani flows

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