Work

Generating shrinkers by mean curvature flow

Year: 2026

Type: article

Abstract: We prove existence for many examples of shrinkers by producing compact, smoothly embedded surfaces that, under mean curvature flow, develop singularities at which the shrinkers occur as blowups.

Source: Mathematische Annalen

DOI: 10.1007/s00208-026-03546-x

Authors: D. Hoffman, F. Martín, B. White

Institutions: Stanford University, Universidad de Granada

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Ministerio de Ciencia, Innovación y Universidades, Universidad de Granada, Agencia Estatal de Investigación, Division of Mathematical Sciences

Awards: G103507813, G1105844351, G1254525443, G1953074864, Mathematical Sciences Research Institute (MSRI), G329468232, G491712853, G5513588269, G5635532810, G567365627, G597010865, G6019427330, G717256432, G7805626310, G7863371703, G8129306910, G8497050386

OpenAlex ID: W4416151933

FWCI: 6.594

Cites: 33

Cited by: 3

Related to: 10