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math.DG2022
The quermassintegral preserving mean curvature flow in the sphere
Esther Cabezas-Rivas, Julian Scheuer
We introduce a mean curvature flow with global term of convex hypersurfaces in the sphere, for which the global term can be chosen to keep any quermassintegral fixed. Then, startin…
math.DG2022★ 8 cited
Stability for Serrin's problem and Alexandroff's theorem in warped product manifolds
Julian Scheuer, Chao Xia
We prove quantitative versions for several results from geometric partial differential equations. Firstly, we obtain a double stability theorem for Serrin's overdetermined problem…