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Tangential measure on the set of convex infinite cylinders

Published online by Cambridge University Press:  24 August 2016

Ursula Maria Molter
Ursula Maria Molter*
Affiliation:
Universidad de Buenos Aires
*
∗ Postal address: Department of Mathematics, Facultad de Cs. Exactas y Nat., Universidad de Buenos Aires, Ciudad Universitaria, (1428) Capital federal, Argentina.
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Abstract

We find a ‘natural' measure on the set of convex infinite cylinders touching a convex body K in En. Using the curvature measures, we can calculate the probability that a convex infinite cylinder and a convex body K are tangent in some previously determined regions. As a particular case we obtain a measure on all q-planes touching K.

Keywords

TANGENTIAL PROBABILITIESCURVATURE MEASURESHAAR MEASURESTEINER FORMULA

Information

Type
Research Paper
Information
Journal of Applied Probability , Volume 23 , Issue 4 , December 1986 , pp. 961 - 972
Copyright
Copyright © Applied Probability Trust 1986 

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