Abstract
A translating soliton is a surface in Euclidean space \(\mathbb {R}^3\) that is minimal for a log-linear density \(\phi (x,y,z)=\alpha x+\beta y+\gamma y\), where \(\alpha ,\beta ,\gamma \) are real numbers not all zero. We characterize all translating solitons that are foliated by circles and the ones that are graphs of type \(z=f(x)+g(y)\).
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This work was completed with the support of the MTM2017-89677-P, MINECO/AEI/FEDER, UE.
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López, R. Some geometric properties of translating solitons in Euclidean space. J. Geom. 109, 40 (2018). https://doi.org/10.1007/s00022-018-0444-0
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DOI: https://doi.org/10.1007/s00022-018-0444-0