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arXiv · 1610.00836

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

Li Chen·Jing Mao
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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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Li Chen, Jing Mao. 2016-10-04. Non-parametric inverse curvature flows in the AdS-Schwarzschild manifold. https://doi.org/10.1007/s12220-017-9848-6

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