On self shrinkers of medium entropy in $\mathbb{R}^4$

TL;DR

This paper investigates smooth, asymptotically conical self-shrinkers in four-dimensional space with entropy below a certain threshold, contributing to the understanding of their geometric properties.

Contribution

It provides new insights into the structure and classification of self-shrinkers in  with bounded entropy, extending previous results in geometric analysis.

Findings

Characterization of self-shrinkers with entropy 

Conditions for asymptotic conicality in 

Bounds on geometric quantities related to entropy

Abstract

In this article we study smooth asymptotically conical self shrinkers in $\mathbb{R}^4$ with Colding-Minicozzi entropy bounded above by $\Lambda_{1}$.