REVIEW 2 cited by
Conformal metrics with finite total Q-curvature revisited
Not yet reviewed by Pith; the record is open.
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
read the original abstract
Given a conformal metric with finite total Q-curvature, we show that the assumptions on scalar curvature sensitively govern the Q-curvature integral. Additionally, we introduce a conformal mass for such manifolds. Using such mass, we provides a necessary and sufficient condition for the metric to be normal without assuming metric completeness. As applications, we derive volume comparison theorems and prove a positive mass type theorem related to Q-curvature.
Forward citations
Cited by 2 Pith papers
-
A sharp isoperimetric inequality and the top order $Q$-curvature
Non-negative top-order Q-curvature of a complete normal conformal metric on R^n forces non-negative sectional curvature, yielding a sharp isoperimetric inequality with deficit equal to the normalized total Q-curvature.
-
Multiple Blow-Up Phenomena for $Q$-Curvature in High Dimensions
In dimensions n≥25, constant Q-curvature metrics can have arbitrarily large energy and unbounded volume, with multiple concentrating bubbles.
Discussion (0). Continue with ORCID to comment.