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Geometric Analysis Seminar

The Minkowski inequality in de Sitter space

Julian Scheuder, (Freiburg University and Columbia University)

Location:  Hill 705
Date & time: Tuesday, 25 February 2020 at 2:50PM - 3:50PM

Abstract: The classical Minkowski inequality in the Euclidean space provides a lower bound on the total mean curvature of a starshaped and mean-convex hypersurface in terms of the surface area, which is optimal on round spheres. In this talk I present a curvature flow approach to prove a properly defined analogue in the Lorentzian de Sitter space. Furthermore we discuss the isoperimetric inequality in a certain class of Lorentzian spacetimes.   


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