Compactness of self-shrinkers in $\mathbb R^3$ with fixed genus

Ao Sun; Zhichao Wang

REVIEW

Compactness of self-shrinkers in mathbb R³ with fixed genus

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 1811.05387 v2 pith:DSO5IHGU submitted 2018-11-13 math.DG math.GT

Compactness of self-shrinkers in $\mathbb R^3$ with fixed genus

Ao Sun , Zhichao Wang This is my paper

classification math.DG math.GT

keywords genusboundedcompactnessentropyfixedmathbbself-shrinkerscorollary

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

0 comments

Share X Bluesky LinkedIn Reddit HN

abstract

We prove the compactness of self-shrinkers in $\mathbb R^3$ with bounded entropy and fixed genus. As a corollary, we show that numbers of ends of such surfaces are uniformly bounded by the entropy and genus.

Compactness of self-shrinkers in $\mathbb R^3$ with fixed genus

discussion (0)