Skip to main content
SpringerLink
Log in

On the congruences of Ribaucour

  • Published:
Proceedings of the Indian Academy of Sciences - Section A Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. EisenhartDifferential Geometry of Curves and Surfaces, p. 420.

  2. Eisenhartloc. cit., Differential Geometry of Curves and Surfaces, pp. 374–76.

  3. Eisenhartloc. cit., Differential Geometry of Curves and Surfaces, p. 398.

  4. ZindlerLiniengeometrie, 2, 108. Eisenhartloc. cit. Liniengeometrie, 2, p. 422. BurgattiAtti dei Lincei, 1899, p. 515. CifarelliAnnali di Matematica, 1899, pp. 139–54.

  5. Ogura, K.Differential Geometry of the Line Congruence, Science Reports of Tohoku Imperial University, 1916, p. 114.

  6. Eisenhartloc. cit., Differential Geometry of Curves and Surfaces.

  7. Ogura, K.loc. cit., Differential Geometry of the Line Congruence, Science Reports of Tohoku Imperial University, 1916, p. 114.

  8. Eisenhartloc. cit. Liniengeometrie, 2.

  9. See also the equations inBianchi, Lezioni 1, 497; Sannia della Accademia di Torino, 45, 58.

  10. Eisenhartloc. cit., Differential Geometry of Curves and Surfaces, p. 153.

  11. Eisenhartloc. cit., Differential Geometry of Curves and Surfaces, p. 413.

  12. Weatherburnloc. cit., Differential Geometry of Curves and Surfaces, p. 70.

  13. Slotnik “A method of applying tensor analysis to the study of Rectilinear congruences,”Mathematische Zeitschrift,28, § 10. Bianchi, L.Annali di Matematica (2), 15, 188; 71.

Download references

Author information

Authors and Affiliations

  1. Delhi University, Delhi

    Ram Behari & Ratan Shanker Mishra

Authors
  1. Ram Behari
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ratan Shanker Mishra
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

(Communicated by Dr. Ram Behari,f.a.sc.)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Behari, R., Mishra, R.S. On the congruences of Ribaucour. Proc. Indian Acad. Sci. (Math. Sci.) 28, 132 (1948). https://doi.org/10.1007/BF03170784

Download citation

  • Received:

  • DOI: https://doi.org/10.1007/BF03170784

Keywords

Search

Navigation