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Differentiable Points Of Arcs In Conformal 3-Space

Published online by Cambridge University Press:  20 November 2018

N. D. Lane  and
F. A. Sherk
N. D. Lane
Affiliation:
Hamilton College, McMaster University
F. A. Sherk
Affiliation:
Hamilton College, McMaster University
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Introduction. This paper is a generalization of the classification of the differentiable points in the conformai plane given in (1). The main tools are the intersection and support properties of all the spheres through a differentiable point of an arc in conformal 3-space.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 105 - 118
Copyright
Copyright © Canadian Mathematical Society 1956

References

1. Lane, N. D. and Scherk, P., Differentiable points in the conformal plane, Can. J. Math., 5 (1953), 512–518.Google Scholar
2. Scherk, P., Über differenzierbare Kurven und Bögen I. Zum Begriff der Characteristik, Časopis pro pěst mat a fys., 66 (1937), 165–171.Google Scholar