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Integral geometric inequalities and valuations

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General integral geometric invariants for convex bodies are introduced and two integral geometric inequalities for them are established. The equality cases for the inequalities are kinematic formulas, which are characterizations… Click to show full abstract

General integral geometric invariants for convex bodies are introduced and two integral geometric inequalities for them are established. The equality cases for the inequalities are kinematic formulas, which are characterizations of integral geometric valuations. Those characterizations are analogues of Hadwiger’s characterization theorem.

Keywords: geometric inequalities; inequalities valuations; integral geometric

Journal Title: Geometriae Dedicata
Year Published: 2019

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