18 oct 2022 -- 16:00
Sala Orsi, Dipartimento di Matematica "G. Peano", Torino
Differential Geometry Seminar Torino
Abstract.
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 fow. This is a joint work with J. Lira.
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