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- W2964205983 abstract "We prove that in small codimensions, the sections of a convex body in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper R Superscript n> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb R^n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> through its centroid are quite symmetric with respect to volume. As a consequence of our estimates we give a positive answer to a problem posed by M. Meyer and S. Reisner regarding convex intersection bodies." @default.
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- W2964205983 date "2017-01-23" @default.
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- W2964205983 title "On the volume of sections of a convex body by cones" @default.
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- W2964205983 doi "https://doi.org/10.1090/proc/13457" @default.
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