Ellipsoids are the only local maximizers of the volume product
classification
🧮 math.MG
math.FA
keywords
maximizersellipsoidslocalproductvolumeactuallybodiesconvex
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Using previous results about shadow systems and Steiner symmetrization, we prove that the local maximizers of the volume product of convex bodies are actually the global maximizers, that is: ellipsoids.
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