https://neckpinch.com/authors/erdem-kocakusakl/New arXiv papers by Erdem Kocakuşaklı, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2004.04974/arxiv:2004.04974Fri, 10 Apr 2020 00:00:00 GMTErdem Kocakuşaklı, Miguel Ortega — We deal with solitons of the mean curvature flow. The definition of translating solitons on a light-like direction in Minkowski 3-space is introduced. Firstly, we classify those which are graphical, translation surfaces, obtaining space-like and time-like, entire and not entire, complete and incomplete examples. Among them, all our time-like examples are incomplete. The second family consists of those which are invariant by a 1-dimensional subgroup of parabolic motions, i.e, with light-like axis. The classification result implies that all examples of this second family have singularities.Mean curvature flowSelf-shrinkers & translatorsSingularitiesSurfaces