Research profile

Erdem Kocakuşaklı

Works on surfaces, self-shrinkers & translators and singularities.

NP-RC-1410700000-0003-0616-173X

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SurfacesSelf-shrinkers & translatorsSingularitiesMean curvature flow

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  1. Miguel Ortega

    1 joint worklatest 2020

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2020

math.DGWider flowsv2arXiv:2004.04974

A Zoo of Translating Solitons on a Parallel Light-like Direction in Minkowski 3-Space

Erdem 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
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