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arxiv: 1204.0243 · v3 · pith:AAXTH2MDnew · submitted 2012-04-01 · 🧮 math.DG · math.AP

The H-flow translating solitons in R³ and R⁴

classification 🧮 math.DG math.AP
keywords translatorsconjecturecorrespondencecurvatureeuclideanexplicitflowgauss
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Motivated by Ilmanen's correspondence, we present an explicit solution to the prescribed Hoffman-Osserman Gauss map problem for non-minimal translators to the mean curvature flow in Euclidean 4-space. We propose a conjecture on the non-existence of Jenkins-Serrin type unit-speed graphical translators.

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