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TRANSLATING SOLITONS FOR THE MEAN CURVATURE FLOW IN $\boldsymbol {{\mathbb {R}}^{4}}$

Published online by Cambridge University Press:  25 April 2022

HOJOO LEE*
Affiliation:
Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University, Jeonju 54896, Korea

Abstract

We present a representation formula for translating soliton surfaces to the mean curvature flow in Euclidean space ${\mathbb {R}}^{4}$ and give examples of conformal parameterisations for translating soliton surfaces.

Type
Research Article
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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