Mean curvature flow of graphs in generalized Robertson–Walker spacetimes with perpendicular Neumann boundary condition.

Autor: de Lira, Jorge H. S., Roing, Fernanda
Zdroj: Annali di Matematica Pura ed Applicata; Apr2023, Vol. 202 Issue 2, p939-966, 28p
Abstrakt: We prove the longtime existence for the mean curvature flow problem with a perpendicular Neumann boundary condition in a generalized Robertson–Walker (GRW) spacetime that obeys the null convergence condition. In addition, we prove that the metric of such a solution is conformal to the one of the leaf of the GRW in asymptotic time. Furthermore, if the initial hypersurface is mean convex, then the evolving hypersurfaces remain mean convex during the flow. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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