Pith. sign in

REVIEW

Existence of nonconstant CR-holomorphic functions of polynomial growth in Sasakian 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 1909.06513 v1 pith:ZO7FQBTY submitted 2019-09-14 math.DG

Shu-Cheng Chang , Yingbo Han , Nan Li , Chien Lin This is my paper
classification math.DG
keywords growthsasakianbisectionalcompletecurvaturemanifoldnoncompactnonconstant
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In this paper, we show that there exists a nonconstant CR holomorphic function of polynomial growth in a complete noncompact Sasakian manifold of nonnegative pseudohermitian bisectional curvature with the CR maximal volume growth property. This is the very first step toward the CR analogue of Yau uniformization conjecture which states that any complete noncompact Sasakian manifold of positive pseudohermitian bisectional curvature is CR biholomorphic to the standard Heisenberg group.

Discussion (0). Sign in to comment.

Pith tools