MEAN CURVATURE FLOW OF GRAPHS IN GENERALIZED ROBERTSON-WALKER SPACETIMES WITH PERPENDICULAR NEUMANN BOUNDARY CONDITION - FERNANDA ROING (UNIVERSIDADE FEDERAL DO CEARÁ - CAMPUS DE ITAPAJÉ)
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 flow.
This is a joint work with J. Lira.
This talk will be presented in a hybrid mode.
It will take place at the Sala Orsi of the Department of Mathematics "G. Peano" (Università di Torino), via Carlo Alberto 10.
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