Lower semicontinuity of mass under \(C^0\) convergence and Huisken's isoperimetric mass
From MaRDI portal
Publication:2332786
DOI10.1515/crelle-2017-0007zbMath1430.53052arXiv1602.00732OpenAlexW2963540591WikidataQ125589030 ScholiaQ125589030MaRDI QIDQ2332786
Dan A. Lee, Jeffrey L. Jauregui
Publication date: 5 November 2019
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.00732
Related Items (13)
Embeddings, immersions and the Bartnik quasi-local mass conjectures ⋮ Nonlinear isocapacitary concepts of mass in 3-manifolds with nonnegative scalar curvature ⋮ Mass, center of mass and isoperimetry in asymptotically flat 3-manifolds ⋮ Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity ⋮ The renormalized volume of a \(4\)-dimensional Ricci-flat ALE space ⋮ ADM mass for \(C^0\) metrics and distortion under Ricci-DeTurck flow ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ Isoperimetry for asymptotically flat 3-manifolds with positive ADM mass ⋮ Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ Smoothing the Bartnik boundary conditions and other results on Bartnik's quasi-local mass ⋮ The area preserving Willmore flow and local maximizers of the Hawking mass in asymptotically Schwarzschild manifolds ⋮ Lower semicontinuity of ADM mass under intrinsic flat convergence ⋮ Lower semicontinuity of the ADM mass in dimensions two through seven
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature
- Motion of level sets by mean curvature. I
- Nonlinear evolution by mean curvature and isoperimetric inequalities
- On the Riemannian Penrose inequality in dimensions less than eight
- Large-sphere and small-sphere limits of the Brown-York mass
- On the proof of the positive mass conjecture in general relativity
- The inverse mean curvature flow and the Riemannian Penrose inequality
- A new proof of the positive energy theorem.
- Proof of the Riemannian Penrose inequality using the positive mass theorem.
- On the lower semicontinuity of the ADM mass
- Dirac and Plateau billiards in domains with corners
- No mass drop for mean curvature flow of mean convex hypersurfaces
- Differentiability of the Arrival Time
- Some isoperimetric inequalities and eigenvalue estimates
- Elliptic regularization and partial regularity for motion by mean curvature
- The size of the singular set in mean curvature flow of mean-convex sets
- Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds
- Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
This page was built for publication: Lower semicontinuity of mass under \(C^0\) convergence and Huisken's isoperimetric mass
