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Dual kinematic formulas |
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| Authors: | Gaoyong Zhang |
| Institution: | School of Mathematics, Institute for Advanced Study and Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104 |
| 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. |
| Keywords: | Kinematic formula dual quermassintegral chord power integral dual mixed volume star body convex body geometric probability |
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