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math.DG2018★ 27 cited
Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball
Julian Scheuer, Guofang Wang, Chao Xia
In this paper we first introduce quermassintegrals for free boundary hypersurfaces in the -dimensional Euclidean unit ball. Then we solve some related isoperimetric type pro…
math.DG2018★ 14 cited
Inverse curvature flows in Riemannian warped products
Julian Scheuer
The long-time existence and umbilicity estimates for compact, graphical solutions to expanding curvature flows are deduced in Riemannian warped products of a real interval with a c…