46 citations · 460 across the 44 of their papers we have counts for
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The inverse mean curvature flow perpendicular to the sphere
Ben Lambert, Julian Scheuer
We consider the smooth inverse mean curvature flow of strictly convex hypersurfaces with boundary embedded in which are perpendicular to the unit sphere from th…
Gradient estimates for inverse curvature flows in hyperbolic space
Julian Scheuer
We prove gradient estimates for hypersurfaces in the hyperbolic space expanding by negative powers of a certain class of homogeneous curvature functions. We obt…
Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in Euclidean space
Julian Scheuer
We prove -closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is -small compared to the mean curvature.…
Pinching and asymptotical roundness for inverse curvature flows in Euclidean space
Julian Scheuer
We consider inverse curvature flows in the -dimensional Euclidean space, expanding by arbitrary negative powers of a 1-homogeneous, monotone curvature function $F…