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math.DG2026
The quermassintegral preserving curvature flow for horo-convex hypersurfaces in the sphere
Sara Albert-Niclòs, Esther Cabezas-Rivas, Shujing Pan
We introduce fully nonlinear curvature flows of horo-convex hypersurfaces in the sphere that preserve an arbitrarily prescribed spherical quermassintegral. The non-local normalizat…
math.DG2026
Capillary quermassintegral inequalities in the unit ball
Shujing Pan, Julian Scheuer
This paper is about hypersurfaces with boundary lying in the Euclidean unit ball, which meet the unit sphere at a fixed angle . Such hypersurfaces are called …