The Riemannian Penrose inequality is proven in arbitrary dimensions for smooth complete asymptotically flat manifolds with nonnegative scalar curvature and compact outer-minimizing minimal boundary allowing singular sets of Hausdorff dimension at most n-8, with equality only for Riemannian Schwarzs
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Equivalent conditions on the structure equations of 3D Lie algebras determine which left-invariant pseudo-Riemannian metrics admit left-invariant harmonic spinors.
citing papers explorer
-
Riemannian Penrose inequality in all dimensions
The Riemannian Penrose inequality is proven in arbitrary dimensions for smooth complete asymptotically flat manifolds with nonnegative scalar curvature and compact outer-minimizing minimal boundary allowing singular sets of Hausdorff dimension at most n-8, with equality only for Riemannian Schwarzs
-
Left-invariant harmonic spinors on three-dimensional Lie groups
Equivalent conditions on the structure equations of 3D Lie algebras determine which left-invariant pseudo-Riemannian metrics admit left-invariant harmonic spinors.