Invariant surfaces in Euclidean space with a log-linear density

Rafael López

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arXiv · 1802.07987

Invariant surfaces in Euclidean space with a log-linear density

Rafael López

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Abstract

A $\lambda$-translating soliton with density vector $\vec{v}$ is a surface in Euclidean space whose mean curvature $H$ satisfies $2H=2\lambda+\langle N,\vec{v}\rangle$, where $N$ is the Gauss map. We classify all $\lambda$-translating solitons that are invariant by a one-parameter group of translations and a one-parameter group of rotations.

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Rafael López. 2018-02-22. Invariant surfaces in Euclidean space with a log-linear density. https://arxiv.org/abs/1802.07987

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