On the minimizers of curvature functionals in asymptotically flat manifolds
type: Item
instance of: scholarly article
title: On the minimizers of curvature functionals in asymptotically flat manifolds
zbMATH Open document ID: 1477.53063
author: Guodong Wei
published in: The Journal of Geometric Analysis
publication date: 2021-08-05T00:00:00Z
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C24
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 53E10
zbMATH DE Number: 7379188
zbMATH Keywords: Willmore functional
zbMATH Keywords: extrinsic energy functional
zbMATH Keywords: positive mass theorem
zbMATH Keywords: inverse mean curvature flow
MaRDI profile type: Publication
full work available at URL: s12220-020-00506-y
OpenAlex ID: W3085453927
cites work: Coordinate Invariance and Energy Expressions in General Relativity
cites work: Q4794350
cites work: Constant mean curvature surfaces in warped product manifolds
cites work: Bubble tree of branched conformal immersions and applications to the Willmore functional
cites work: The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
cites work: Large-sphere and small-sphere limits of the Brown-York mass
cites work: Q4537523
cites work: The inverse mean curvature flow and the Riemannian Penrose inequality
cites work: Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
cites work: The area preserving Willmore flow and local maximizers of the Hawking mass in asymptotically Schwarzschild manifolds
cites work: \(W^{2,2}\)-conformal immersions of a closed Riemann surface into \(\mathbb{R}^n\)
cites work: Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds
cites work: Small Surfaces of Willmore Type in Riemannian Manifolds
cites work: Minimizers of the Willmore functional with a small area constraint
cites work: Foliations of asymptotically flat manifolds by surfaces of Willmore type
cites work: A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
cites work: Willmore spheres in compact Riemannian manifolds
cites work: Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds
cites work: On surfaces of finite total curvature
cites work: Analysis aspects of Willmore surfaces
cites work: Lipschitz conformal immersions from degenerating Riemann surfaces with L2-bounded second fundamental forms
cites work: On the proof of the positive mass conjecture in general relativity
cites work: Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
cites work: Existence of surfaces minimizing the Willmore functional
cites work: An Hélein’s type convergence theorem for conformal immersions from 𝕊² to manifold
cites work: Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies
cites work: Q4277833
DOI: 10.1007/S12220-020-00506-Y
Recommended article: Curvature estimates in asymptotically flat manifolds of positive scalar curvature
Recommended article: Asymptotically flat manifolds of nonnegative curvature
Recommended article: On the minimization of total mean curvature
Recommended article: Curvature Estimates in Asymptotically Flat Lorentzian Manifolds
Recommended article: On the curvature of minimal submanifolds in a sphere
Recommended article: Curvature estimates for minimal submanifolds of higher codimension
Recommended article: Q3806324
Recommended article: Q5751495
Recommended article: Minimization of functionals generating curvature operators
Recommended article: Curvature estimates for minimal hypersurfaces in singular spaces
description: scientific article; zbMATH DE number 7379188