https://neckpinch.com/authors/yuguang-shi/New arXiv papers by Yuguang Shi, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1811.06158/arxiv:1811.06158Thu, 15 Nov 2018 00:00:00 GMTYuguang Shi, Jintian Zhu — By making use of the nice behavior of Hawking masses of slices of a weak solution of inverse mean curvature flow in three dimensional asymptotically hyperbolic manifolds, we are able to show that each slice of the flow is star-shaped after a long time, and then we get the regularity of the weak solution of inverse mean curvature flow in asymptotically hyperbolic manifolds. As an application, we prove that the limit of Hawking mass of the slices of a weak solution of inverse mean curvature flow with any connected C²-smooth surface as initial data in asymptotically ADS-Schwarzschild manifolds with positive mass is bigger than or equal to the total mass, which is completely different from the situation in asymptotically flat case.Mean curvature flowOther curvature flowsInverse mean curvature flow3-manifoldsWeak & singular flowsBoundaries & non-compactPhysics