Foliations of asymptotically flat manifolds by surfaces of Willmore type
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Publication:537864
DOI10.1007/s00208-010-0550-2zbMath1222.53028arXiv0903.1277OpenAlexW1990578256MaRDI QIDQ537864
Jan Metzger, Felix Schulze, Tobias Lamm
Publication date: 23 May 2011
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.1277
General relativity (83C99) Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Foliations (differential geometric aspects) (53C12)
Related Items (26)
Adiabatic theory for the area-constrained Willmore flow ⋮ Local solutions to a free boundary problem for the Willmore functional ⋮ The Willmore center of mass of initial data sets ⋮ On the stability of the CMC Clifford tori as constrained Willmore surfaces ⋮ Local foliations by critical surfaces of the Hawking energy and small sphere limit ⋮ Existence of integral \(m\)-varifolds minimizing \(\int |A|^p\) and \(\int |H|^p\), \(p>m\), in Riemannian manifolds ⋮ On the index of Willmore spheres ⋮ Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity ⋮ Global Conformal Invariants of Submanifolds ⋮ Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds ⋮ Minimizers of the Willmore functional with a small area constraint ⋮ Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint ⋮ Optimal rigidity estimates for nearly umbilical surfaces in arbitrary codimension ⋮ Phase field models for thin elastic structures with topological constraint ⋮ Clifford Tori and the singularly perturbed Cahn-Hilliard equation ⋮ Periodic solutions to a Cahn-Hilliard-Willmore equation in the plane ⋮ Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds ⋮ The area preserving Willmore flow and local maximizers of the Hawking mass in asymptotically Schwarzschild manifolds ⋮ Local foliation of manifolds by surfaces of Willmore-type ⋮ Optimal constants of \(L^2\) inequalities for closed nearly umbilical hypersurfaces in space forms ⋮ On the minimizers of curvature functionals in asymptotically flat manifolds ⋮ Foliations by stable spheres with constant mean curvature for isolated systems without asymptotic symmetry ⋮ Absence of bubbling phenomena for non-convex anisotropic nearly umbilical and quasi-Einstein hypersurfaces ⋮ Quantitative stability for anisotropic nearly umbilical hypersurfaces ⋮ Foliation of an asymptotically flat end by critical capacitors ⋮ Explicit Riemannian manifolds with unexpectedly behaving center of mass
Uses Software
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