Translating solitons of translation and homothetical types

Aydin, Muhittin Evren; López Camino, Rafael

doi:10.55730/1300-0098.3331

Translating solitons of translation.pdf (251.1Ko)

Identificadores

URI: https://hdl.handle.net/10481/79107

DOI: 10.55730/1300-0098.3331

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TÜBITAK

Materia

Mean curvature flow

Translating soliton

Surfaces of translation

Homothetical surface

Date

2022-09-20

Referencia bibliográfica

AYDIN, MUHİTTİN EVREN and LOPEZ, RAFAEL (2022) "Translating solitons of translation and homothetical types," Turkish Journal of Mathematics: Vol. 46: No. 8, Article 13. [https://doi.org/10.55730/1300-0098.3331]

Patrocinador

MTM2017-89677-P, MINECO/AEI/FEDER, UE

Résumé

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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