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math.DG2013★ 27 cited
The inverse mean curvature flow in warped cylinders of non-positive radial curvature
Julian Scheuer
We consider the inverse mean curvature flow in smooth Riemannian manifolds of the form with metric and non-pos…
math.DG2013★ 38 cited
Rigidity results, inverse curvature flows and Alexandrov-Fenchel type inequalities in the sphere
Matthias Makowski, Julian Scheuer
We prove a rigidity result in the sphere which allows us to generalize a result about smooth convex hypersurfaces in the sphere by Do Carmo-Warner to convex -hypersurfaces. We…