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On Differentiable Arcs and Curves, VI: Singular Osculating Spaces of Curves of Order n + 1 in Projective n-Space

Published online by Cambridge University Press:  20 November 2018

Peter Scherk
Peter Scherk*
Affiliation:
University of Toronto
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A closed curve Kn+1 of order n + 1 in real projective n-space Rn has a maximum number of n + 1 points in common with any (n — 1)-space. These curves are subjected to certain differentiability assumptions which make it possible to describe their singular points and to provide them with multiplicities in analogy with algebraic geometry.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 1042 - 1061
Copyright
Copyright © Canadian Mathematical Society 1967

References

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