No CrossRef data available.
Article contents
Osculating Spaces
Published online by Cambridge University Press: 20 November 2018
Extract
In this paper an attempt is made to prove some of the basic theorems on the osculating spaces of a curve under minimum assumptions. The natural approach seems to be the projective one. A duality yields the corresponding results for the characteristic spaces of a family of hyperplanes. A duality theorem for such a family and its characteristic curve also is proved. Finally the results are applied to osculating hyperspheres of curves in a conformai space.
The analytical tools are collected in the first three sections. Some of them may be of independent interest.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1962