A new proof of the Wulff-Gage isoperimetric inequality and its applications
Abstract
A new proof of the Wulff-Gage isoperimetric inequality for origin-symmetric convex bodies is provided. As its applications, we prove the uniqueness of log-Minkowski problem and a new proof of the log-Minkowski inequality of curvature entropy for origin-symmetric convex bodies of C2 boundaries in R2 is given.
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