Density estimates for compact surfaces with total boundary curvature less than 4pi

Giuseppe Tinaglia; Theodora Bourni

REVIEW

Density estimates for compact surfaces with total boundary curvature less than 4pi

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 1105.1972 v1 pith:KRU426JV submitted 2011-05-10 math.DG

Density estimates for compact surfaces with total boundary curvature less than 4pi

Theodora Bourni , Giuseppe Tinaglia This is my paper

classification math.DG

keywords curvatureestimatessurfacesboundarycompactdensitylessresults

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

In this paper we obtain density estimates for compact surfaces immersed in R^n with total boundary curvature less than 4pi and with sufficiently small L^p norm of the mean curvature, p>2. Our results generalize the main results in [2]. We then apply our estimates to discuss the geometry and topology of such surfaces.

Density estimates for compact surfaces with total boundary curvature less than 4pi

discussion (0)