Kinematische Berührung im Äquiaffinen. (Kinematical contact in the equiaffine)
type: Item
instance of: scholarly article
title: Kinematische Berührung im Äquiaffinen. (Kinematical contact in the equiaffine)
zbMATH Open document ID: 0695.53055
DOI: 10.1007/BF00181336
published in: Geometriae Dedicata
publication date: 1990-01-01T00:00:00Z
review text: In previous papers the author has considered some contact kinematic formulae in spaces of constant curvature [Abh. Math. Semin. Univ. Hamb. 58, 255-266 (1988; Zbl 0644.53064); ibid. 59, 107-122 (1989)] where more references are given]. In the present paper he considers analogous questions in affine space under the group of volume-preserving affinities. In the case of two curves in the real affine plane, the contact measure is given in terms of affine lengths and affine curvatures of the given curves. The case of parabolas which hyperosculate a given curve in the affine plane is also considered. In a similar way, parallel supporting planes of closed convex surfaces in affine n-dimensional space are treated.
reviewed by: L. A. Santaló
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 53A15
zbMATH DE Number: 4138720
zbMATH Keywords: contact measures
zbMATH Keywords: affine length
zbMATH Keywords: affine curvature
zbMATH Keywords: kinematic formulae
zbMATH Keywords: convex surfaces
author: Eberhard Teufel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4138720