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arXiv · 2109.05253

Translating solitons of translation and homothetical types

Muhittin Evren Aydin·Rafael Lopez
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Abstract

We prove that if a translating soliton can be expressed as the sum of two curves and one of these curves is planar, then the other curve is also planar and consequently the surface must be a plane or a grim reaper. We also investigate translating solitons that can be locally written as the product of two functions of one variable. We extend the results in Lorentz-Minkowski space.

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Muhittin Evren Aydin, Rafael Lopez. 2021-09-11. Translating solitons of translation and homothetical types. https://arxiv.org/abs/2109.05253

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