Isometric deformations of the K(1/4)-flow translators in R3 with helicoidal symmetry

Abstract

The height functions of K(1/4)-flow translators in Euclidean space R3 solve the unimodular Hessian equation. We explicitly and geometrically determine the moduli space of all helicoidal K(1/4)-flow translators, which are generated from planar curves by the action of helicoidal groups.

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