74 research outputs found
Stability of volume comparison for complex convex bodies
We prove stability in the affirmative part of the Busemann-Petty problem on
sections of complex convex bodies
Stability and separation in volume comparison problems
We review recent stability and separation results in volume comparison
problems and use them to prove several hyper- plane inequalities for
intersection and projection bodies.Comment: arXiv admin note: text overlap with arXiv:1101.3600, arXiv:1204.253
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