Geodesic
Integral identities for the boundary of a convex body
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 172-188 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     title = {Integral identities for the boundary of a convex body},
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T. D. Moseeva. Integral identities for the boundary of a convex body. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 172-188. http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a9/

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