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On complete embedded
translating solitons of the mean curvature flow that are of
finite genus
Graham Smith |
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Vol. 17 (2024), No. 4, 1175–1236
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Abstract |
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We desingularise the union of three Grim paraboloids along Costa–Hoffman–Meeks surfaces in order to obtain complete embedded translating solitons of the mean curvature flow with three ends and arbitrary finite genus. |
Keywords
mean curvature flow, soliton, singular perturbation,
Costa–Hoffman–Meeks surface, Grim paraboloid, bowl soliton
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Mathematical Subject Classification 2010
Primary: 53C44
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Milestones
Received: 17 December 2019
Revised: 13 August 2022
Accepted: 23 September 2022
Published: 17 May 2024
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Authors |
| Graham Smith | |
| Departamento de Matemática Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio) Rio de Janeiro Brazil |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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