Non-parametric inverse curvature flows in the AdS-Schwarzschild manifold

Published 4 Oct 2016 in math.DG | (1610.00836v3)

Abstract: We consider the inverse curvature flows in the anti-de Sitter-Schwarzschild manifold with star-shaped initial hypersurface, driven by the 1-homogeneous curvature function. We show that the solutions exist for all time and the principle curvatures of the hypersurface converges to 1 exponentially fast.

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