46 citations · 460 across the 44 of their papers we have counts for
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math.DG2016★ 42 cited
A unified flow approach to smooth, even -Minkowski problems
Paul Bryan, Mohammad N. Ivaki, Julian Scheuer
We study long-time existence and asymptotic behaviour for a class of anisotropic, expanding curvature flows. For this we adapt new curvature estimates, which were developed by Guan…
math.DG2016★ 16 cited
A geometric inequality for convex free boundary hypersurfaces in the unit ball
Ben Lambert, Julian Scheuer
We use the inverse mean curvature flow with a free boundary perpendicular to the sphere to prove a geometric inequality involving the Willmore energy for convex hypersurfaces of di…
math.DG2016★ 12 cited
On the classification of ancient solutions to curvature flows on the sphere
Paul Bryan, Mohammad N. Ivaki, Julian Scheuer
We consider the evolution of hypersurfaces on the unit sphere by smooth functions of the Weingarten map. We introduce the notion of `quasi-ancient' solutions for…