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arXiv · 2207.06923

Integral Identities for the boundary of a convex body

Tatiana Moseeva
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Abstract

We present the multidimensional versions of the Pleijel and Ambartzumian--Pleijel identities. We also obtain the generalization of both the Blaschke--Petkantschin and Zähle formulae considering the case when some points are chosen inside the convex body and some on the boundary. Moreover, a version of the Zähle formula for the polytopes is derived.

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Tatiana Moseeva. 2022-07-14. Integral Identities for the boundary of a convex body. https://arxiv.org/abs/2207.06923

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