The Logarithmic Minkowski Problem

来源 :The Fourth International Conference on Nonlinear Evolutionar | 被引量 : 0次 | 上传用户:yyj55555
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The logarithmic Minkowski problem,like the classical Minkowski problem,is a fundamental question in the affine geometry of convex bodies.For symmetric convex bodies,it asks what are the necessary and sufficient conditions for a measure in(n-1)-dimensional projective space to be the cone-volume measure of the unit ball in an n-dimensional normed space.
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