Volume Inequalities and Additive Maps of Convex Bodies
نویسندگان
چکیده
Analogs of the classical inequalities from the Brunn Minkowski Theory for rotation intertwining additive maps of convex bodies are developed. We also prove analogs of inequalities from the dual Brunn Minkowski Theory for intertwining additive maps of star bodies. These inequalities provide generalizations of results for projection and intersection bodies. As a corollary we obtain a new Brunn Minkowski inequality for the volume of polar projection bodies.
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