Fetching the paper…
Reading the bibliography…
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.
Krylov N V. Nonlinear elliptic and parabolic equations of the second order. Dordrecht: D Reidel Publishing Co, 1987
1987
Earlier work this paper cites.
Ecker K, Huisken G. Interior estimates for hypersurfaces moving by mean curvature. Invent Math, 1991, 105: 547–569
1991
Earlier work this paper cites.
Master Dissertation, North Carolina: Eberhard Karls Universität Tübingen, 2001
Heidusch M E. Zur regularität des inversen mittleren krümmungsflusses · 2001
Earlier work this paper cites.
Huisken G, Ilmanen T. The inverse mean curvature flow and the Riemannian Penrose inequality. J Differential Geom, 2001, 59: 353–437
2001
Earlier work this paper cites.
De Lellis C, Müller S. Optimal rigidity estimates for nearly umbilical surfaces. J Differential Geom, 2005, 69: 75–110
2005
Earlier work this paper cites.
Huisken G, Ilmanen T. Higher regularity of the inverse mean curvature flow. J Differential Geom, 2008, 80: 433–451
2008
Earlier work this paper cites.
Guan P, Li J. The quermassintegral inequalities for k k –convex starshaped domains. Adv Math, 2009, 221: 1725–1732
2009
Cited alongside, same era.
Neves A. Insufficient convergence of inverse mean curvature flow on asymptotically hyperbolic manifolds. J Differential Geom, 2010, 84: 191–229
2010
Cited alongside, same era.
Brendle S, Chodosh O. A volume comparison theorem for asymptotically hyperbolic manifolds. Comm Math Phys, 2014, 332: 839–846
2014
Cited alongside, same era.
Ge Y, Wang G, Wu J. Hyperbolic Alexandrov–Fenchel quermassintegral inequalities II. J Differential Geom, 2014, 98: 237–260
2014
Cited alongside, same era.
Marques F C, Neves A. Min-max theory and the Willmore conjecture. Ann of Math, 2014, 179: 683–782
2014
Cited alongside, same era.
Lee D A, Neves A. The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass. Comm Math Phys, 2015, 339: 327–352
2015
Later among the works it cites.
Brendle S, Hung P–K, Wang M–T. A Minkowski inequality for hypersurfaces in the anti–de Sitter–Schwarzschild manifold. Comm Pure Appl Math, 2016, 69: 124–144
2016
Later among the works it cites.
Chodosh O. Large isoperimetric regions in asymptotically hyperbolic manifolds. Comm Math Phys, 2016, 343: 393–443
2016
Later among the works it cites.
Li H, Wei Y. On inverse mean curvature flow in Schwarzschild space and Kottler space. Calc Var Partial Differential Equations, 2017, 56: Paper No. 62, 21 pp
2017
Later among the works it cites.
Wei Y. On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space. Calc Var Partial Differential Equations, 2018, 57: Paper No. 46, 17 pp
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2018
Closest in time.