Czasopismo
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Języki publikacji
Abstrakty
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.
Słowa kluczowe
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Tom
Numer
Opis fizyczny
Daty
otrzymano
2016-05-09
zaakceptowano
2016-09-02
online
2016-10-17
Twórcy
autor
- Freie Universität Berlin Berlin, Germany
autor
- Freie Universität Berlin Berlin, Germany
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_geofl-2016-0001