On a Penrose-Like Inequality in Dimensions Less than Eight

DOI10.1093/imrn/rnx181zbMath1429.53055arXiv1701.04805OpenAlexW2963849199MaRDI QIDQ5243339

Pengzi Miao, Stephen McCormick

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04805

zbMATH Keywords

scalar curvaturemean curvatureouter minimizing boundary

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (12)

Rigidity of Riemannian Penrose inequality with corners and its implications ⋮ On the rigidity of Riemannian-Penrose inequality for asymptotically flat 3-manifolds with corners ⋮ A survey on extensions of Riemannian manifolds and Bartnik mass estimates ⋮ On a Minkowski-like inequality for asymptotically flat static manifolds ⋮ NNSC-cobordism of Bartnik data in high dimensions ⋮ Doubling of asymptotically flat half-spaces and the Riemannian Penrose inequality ⋮ On the fill-in of nonnegative scalar curvature metrics ⋮ 4-Dimensional manifolds with nonnegative scalar curvature and CMC boundary ⋮ Lower semicontinuity of the ADM mass in dimensions two through seven ⋮ Gluing Bartnik extensions, continuity of the Bartnik mass, and the equivalence of definitions ⋮ Geometric inequalities for quasi-local masses ⋮ Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space

This page was built for publication: On a Penrose-Like Inequality in Dimensions Less than Eight