On φ-congruences

M.D. UPADHYAY

doi:10.2969/jmsj/00510095

On φ-congruences

M.D. UPADHYAY

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JOURNAL FREE ACCESS

1953 Volume 5 Issue 1 Pages 95-104

DOI https://doi.org/10.2969/jmsj/00510095

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Published: 1953 Received: November 11, 1952 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Bianchi (1927), "Lezioni di Geometria Differenziale", I, 459.
2) Eisenhart, L.P. (1940), "An Introduction to Differential Geometry".
3) Kummer (1860), "Allgemeine Theorie der gradlinigen Strahlensysteme", Crelle's Journ., 57, 189-230.
4) Mishra, R.S. (1945), "Some properties of rectilinear congruences obtained by tensor method", Proc. Ben. Math. Soc., 7, 41-49.
5) Mishra, R.S. (1951, 1), "on Skewness of distribution of the generators of a ruled surface", Mathematics Student, 19, 105 7.
6) Mishra, R.S. (1951, 2), "Modification in Sannia's theory of line congruences and some deductions." Revue de la Faculté des Sciences de l'Université d'Istanbul, Serie A, 16 (2).
7) Ram Behari and Mishra, R.S. (1949), "Some formulae in rectilinear congruences", Proc, of the National Institute of Sciences of India, 15 (3), 85-93.
8) Ranga Chariar (1945), "On Transversals which meet consecutive generators of a ruled surface at a constant angle." Bull. Cal. Math. Soc., 37, 133-36.
9) Weatherburn, C.E. (1931), "Differential Geometry of three dimensions", Vol. I.

Right : [1] Bianchi (1927), “Lezioni di Geometria Differenziale”, I, 459.
[2] Eisenhart, L. P. (1940), “An Introduction to Differential Geometry”.
[3] Kummer (1860), “Allgemeine Theorie der gradlinigen Strahlensysteme”, Crelle's Journ., 57, 189-230.
[4] Mishra, R. S. (1945), “Some properties of rectilinear congruences obtained by tensor method”, Proc. Ben. Math. Soc., 7, 41-49.
[5] Mishra, R. S. (1951, 1), “On Skewness of distribution of the generators of a ruled surface”, Mathematics Student, 19, 105 7.
[6] Mishra, R. S. (1951, 2), “Modification in Sannia's theory of line congruences and some deductions.” Revue de la Faculté des Sciences de l'Université d'Istanbul, Serie A, 16 (2).
[7] Ram Behari and Mishra, R. S. (1949), “Some formulae in rectilinear congruences”, Proc, of the National Institute of Sciences of India, 15 (3), 85-93.
[8] Ranga Chariar (1945), “On Transversals which meet consecutive generators of a ruled surface at a constant angle.” Bull. Cal. Math. Soc., 37, 133-36.
[9] Weatherburn, C. E. (1931), “Differential Geometry of three dimensions”, Vol. I.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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