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NON‐UNIQUENESS OF CONVEX BODIES WITH PRESCRIBED VOLUMES OF SECTIONS AND PROJECTIONS

Fedor NazarovDepartment of MathematicsKent State UniversityKentOH44242U.S.ADmitry RyaboginDepartment of MathematicsKent State UniversityKentOH44242U.S.AArtem ZvavitchDepartment of MathematicsKent State UniversityKentOH44242U.S.A

Mathematikajournal2012en

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Manbada oʻqisharxiv.org(yangi oynada ochiladi)
PDFarxiv.org(yangi oynada ochiladi)

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Annotatsiya

We show that if d≥4 is even, then one can find two essentially different convex bodies such that the volumes of their maximal sections, central sections, and projections coincide for all directions.

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Mavzular

Point processes and geometric inequalities Geometric Analysis and Curvature Flows Analytic and geometric function theory

Identifikatorlar

DOI: 10.1112/s0025579312001027

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