Helicoidal surfaces rotating/translating under the mean curvature flow

We describe all possible self-similar motions of immersed hypersurfaces in Euclidean space under the mean curvature flow and derive the corresponding hypersurface equations. Then we present a new two-parameter family of immersed helicoidal surfaces that rotate/translate with constant velocity under...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser: Halldorsson, Hoeskuldur Petur
Weitere Verfasser: Massachusetts Institute of Technology. Department of Mathematics
Format: Artikel
Sprache:English
Veröffentlicht: Springer Netherlands 2016
Online Zugang:http://hdl.handle.net/1721.1/105517