46 citations · 460 across the 44 of their papers we have counts for
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math.DG2021★ 5 cited
Mean curvature flow in null hypersurfaces and the detection of MOTS
Henri Roesch, Julian Scheuer
We study the mean curvature flow in 3-dimensional null hypersurfaces. In a spacetime a hypersurface is called null, if its induced metric is degenerate. The speed of the mean curva…
math.AP2021★ 10 cited
Stability from rigidity via umbilicity
Julian Scheuer
We consider a range of geometric stability problems for hypersurfaces of spaceforms. One of the key results is an estimate relating the distance to a geodesic sphere of an embedded…
math.AP2021★ 32 cited
A fully-nonlinear flow and quermassintegral inequalities in the sphere
Chuanqiang Chen, Pengfei Guan, Junfang Li +1
This expository paper presents the current knowledge of particular fully nonlinear curvature flows with local forcing term, so-called locally constrained curvature flows. We focus…