An Alexandrov-Fenchel-type inequality for hypersurfaces in the sphere
classification
🧮 math.DG
keywords
alexandrov-fenchel-typehypersurfacesinequalityspherealongconvexcurvaturedimensional
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We find a monotone quantity along the inverse mean curvature flow and use it to prove an Alexandrov-Fenchel-type inequality for strictly convex hypersurfaces in the $n$-dimensional sphere, $n \geq 3$.
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