Article

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

ABI

Abstract

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.

Topics

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

Identifiers

DOI: 10.1112/s0025579312001027

Citations and references

Cited by 04 references

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