Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions
Marie-Amélie Lawn, Miguel Ortega
Abstract
Abstract We study new examples of translating solitons of the mean curvature flow, especially in Minkowski space. We consider for this purpose manifolds admitting submersions and cohomegeneity one actions by isometries on suitable open subsets. This general setting also covers the classical Euclidean examples. As an application, we completely classify time-like, invariant translating solitons by rotations and boosts in Minkowski space.
Topics & Concepts
Minkowski spaceMathematicsPure mathematicsEuclidean geometryInvariant (physics)Euclidean spaceSpace (punctuation)CurvatureMathematical analysisAlgebra over a fieldMathematical physicsGeometryLinguisticsPhilosophyGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchGeometry and complex manifolds