Pith. sign in

REVIEW 1 cited by

On the asymptotic Plateau problem in Cartan--Hadamard manifolds

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 2107.14670 v5 pith:K7OIIATL submitted 2021-07-30 math.DG

Graham Smith This is my paper · ORCID
classification math.DG
keywords cartan--hadamardmanifoldsasymptoticcurvaturenaturalplateauproblemachieve
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We prove dynamical stability of a natural class of hypersurface laminations defined over Cartan--Hadamard manifolds of pinched curvature. We achieve this by providing a complete solution to the asymptotic Plateau problem for immersed surfaces of constant extrinsic curvature in Cartan--Hadamard manifolds, proposed by Labourie in [25], together with its natural higher-dimensional generalisation.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Foliated Plateau problems, geometric rigidity and equidistribution of closed $k$-surfaces

    math.DG 2025-02 unverdicted

    A survey of foliated Plateau problems showing that area-entropy and marked-area-spectrum rigidity for k-surfaces mirror classical geodesic-flow rigidity.

Pith tools