Smoothness of the Steiner symmetrization

Lin, Youjiang

doi:10.1090/proc/13683

Smoothness of the Steiner symmetrization
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Proc. Amer. Math. Soc. 146 (2018), 345-357 Request permission

Abstract:

It is proved that for a convex body with $C^2$ boundary and positive Gauss curvature, its Steiner symmetral is again a convex body with $C^2$ boundary and positive Gauss curvature.

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