Pith. sign in

REVIEW 2 cited by

Riemannian Penrose inequality via Nonlinear Potential Theory

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2205.11642 v3 pith:65BSJIWW submitted 2022-05-23 math.DG math.AP

Virginia Agostiniani , Carlo Mantegazza , Lorenzo Mazzieri , Francesca Oronzio This is my paper · ORCID
classification math.DGmath.AP
keywords asymptoticallyflathorizoninequalitypenrosepotentialproofriemannian
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly established monotonicity formula holding along the level sets of the $p$-capacitary potential of the horizon boundary, in any asymptotically flat $3$-manifold with nonnegative scalar curvature.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Green functions and a positive mass theorem for asymptotically hyperbolic $3$-manifolds

    math.DG 2025-06 conditional novelty 7.0 of 10

    The volume-renormalized mass of any orientable 3-manifold asymptotic to hyperbolic space with scalar curvature at least -6 and no spherical second homology classes is nonnegative, vanishing only for hyperbolic space.

  2. General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications

    math.AP 2025-06 conditional novelty 6.0 of 10

    A new monotone formula for the k-Hessian equation yields ball characterizations for exterior overdetermined problems and recovers sharp geometric inequalities.

Pith tools