Hostname: page-component-cb9f654ff-9knnw Total loading time: 0 Render date: 2025-09-02T17:06:03.423Z Has data issue: false hasContentIssue false
  • English
  • Français

On the director surface of a rectilinear congruence

Published online by Cambridge University Press:  24 October 2008

P. Jha  and
C. J. Eliezer
P. Jha
Affiliation:
University of Malaya, Kuala Lumpur
Get access Rights & Permissions [Opens in a new window]

Extract

In this paper, it is shown that certain quantities defined with reference to the rays of a rectilinear congruence, remain unchanged for a change in the director surface, provided that the spherical representation of the congruence is kept unchanged. These quantities may be called semi-invariants. Some known invariants have been expressed in terms of these semi-invariants. An attempt has been made to find how these semi-invariants alter when the parametric curves are changed in any manner.

Information

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 2 , April 1963 , pp. 503 - 504
Copyright
Copyright © Cambridge Philosophical Society 1963

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCE

(1)Weatherburn, C. E., Differential geometry, vol. I (Cambridge, 1927).Google Scholar