On complete embedded translating solitons of the mean curvature flow that are of finite genus
Graham Smith
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.
Topics & Concepts
GenusCurvatureFlow (mathematics)Mean curvature flowOrder (exchange)Mean curvatureMathematicsPure mathematicsMathematical physicsPhysicsGeometryZoologyBiologyBusinessFinanceGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAlgebraic Geometry and Number Theory