On complete embedded translating solitons of the mean curvature flow that are of finite genus

DOI10.2140/APDE.2024.17.1175arXiv1501.04149MaRDI QIDQ6258205

Graham Smith

Publication date: 16 January 2015

Abstract: We desingularise the union of $3$ Grim paraboloids along Costa-Hoffman-Meeks surfaces in order to obtain complete embedded translating solitons of the mean curvature flow with $3$ ends and arbitrary finite genus.

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)

Related Items (1)

Translating annuli for mean curvature flow

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