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Inner contact measures

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

WM. J. Firey
WM. J. Firey
Affiliation:
Oregon State University, Corvallis, Oregon, U.S.A.
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Extract

We say a motion g brings a mobile convex body K into inner contact with a fixed body K0 if the image gK lies in K0 and shares a boundary point with K0; we speak of the inner contact being at the common boundary point. The mobile body K is said to roll freely in K0 if, corresponding to each boundary point x of K0 and each rotation R, there is a translation t such that RK + t = gK has inner contact with K0 at x.

MSC classification

Secondary: 52A20: Convex sets in $n$ dimensions (including convex hypersurfaces)

Information

Type
Research Article
Information
Mathematika , Volume 26 , Issue 1 , June 1979 , pp. 106 - 112
Copyright
Copyright © University College London 1979

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