Type-II singularities of two-convex immersed mean curvature flow

• Autorzy: Theodora Bourni , Mat Langford
• Języki publikacji: EN

Abstrakty

EN

We show that any strictly mean convex translator of dimension n ≥ 3 which admits a cylindrical estimate and a corresponding gradient estimate is rotationally symmetric. As a consequence, we deduce that any translating solution of the mean curvature flow which arises as a blow-up limit of a two-convex mean curvature flow of compact immersed hypersurfaces of dimension n ≥ 3 is rotationally symmetric. The proof is rather robust, and applies to a more general class of translator equations. As a particular application, we prove an analogous result for a class of flows of embedded hypersurfaces which includes the flow of twoconvex hypersurfaces by the two-harmonic mean curvature.

• Wydawca: De Gruyter Open
• Czasopismo: Geometric Flows
• Rocznik: 2017
• Tom: 2
• Numer: 1

Daty

otrzymano

2016-05-09

zaakceptowano

2016-09-02

online

2016-10-17

Twórcy

autor

Theodora Bourni

• Freie Universität Berlin Berlin, Germany

autor

Mat Langford

• Freie Universität Berlin Berlin, Germany

Identyfikatory

DOI

10.1515/geofl-2016-0001