Pith. sign in

REVIEW

A fully nonlinear equation on 4-manifolds with positive scalar curvature

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 math/0301350 v3 pith:4XRXFQM3 submitted 2003-01-30 math.DG math.AP

Matthew Gursky , Jeff Viaclovsky This is my paper · ORCID
classification math.DGmath.AP
keywords curvaturepositivescalarconditionconformalequationfullygive
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We present a conformal deformation involving a fully nonlinear equation in dimension 4, starting with positive scalar curvature. Assuming a certain conformal invariant is positive, one may deform from positive scalar curvature to a stronger condition involving the Ricci tensor. We also give a new conformally invariant condition for positivity of the Paneitz operator, which allows us to give many new examples of manifolds admitting metrics with constant $Q$-curvature.

Discussion (0). Continue with ORCID to comment.

Pith tools