Dual kinematic formulas

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)985-995
Number of pages11
JournalTransactions of the American Mathematical Society
Volume351
Issue number3
StatePublished - 1999

Fingerprint

Kinematics
Chord or secant line
Geometric Probability
Star Body
Stars
Mixed Volume
Convex Body

Keywords

  • Chord power integral
  • Convex body
  • Dual mixed volume
  • Dual quermassintegral
  • Geometric probability
  • Kinematic formula
  • Star body

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Dual kinematic formulas. / Zhang, Gaoyong.

In: Transactions of the American Mathematical Society, Vol. 351, No. 3, 1999, p. 985-995.

Research output: Contribution to journalArticle

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