Dual kinematic formulas

Zhang, Gaoyong

doi:10.1090/S0002-9947-99-02053-X

Dual kinematic formulas
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by Gaoyong Zhang

Trans. Amer. Math. Soc. 351 (1999), 985-995

DOI: https://doi.org/10.1090/S0002-9947-99-02053-X

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Abstract:

We establish kinematic formulas for dual quermassintegrals of star bodies and for chord power integrals of convex bodies by using dual mixed volumes. These formulas are extensions of the fundamental kinematic formula involving quermassintegrals to the cases of dual quermassintegrals and chord power integrals. Applications to geometric probability are considered.

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