A study of the projective differential geometry of surfaces by means of a modified tensor analysis
HTML articles powered by AMS MathViewer
- by P. O. Bell
- Trans. Amer. Math. Soc. 60 (1946), 22-50
- DOI: https://doi.org/10.1090/S0002-9947-1946-0016230-9
- PDF | Request permission
References
- P. O. Bell, On differential geometry intrinsically connected with a surface element of projective arc length, Trans. Amer. Math. Soc. 50 (1941), 529–547. MR 5687, DOI 10.1090/S0002-9947-1941-0005687-0
- P. O. Bell, New systems of hypergeodesics defined on a surface, Bull. Amer. Math. Soc. 49 (1943), 575–580. MR 8484, DOI 10.1090/S0002-9904-1943-07976-1
- P. O. Bell, A study of curved surfaces by means of certain associated ruled surfaces, Trans. Amer. Math. Soc. 46 (1939), 389–409. MR 510, DOI 10.1090/S0002-9947-1939-0000510-3 E. Bompiani Le forme elementari e la teoría proiettiva delle superficie, Bolletino della Unione Matematica Italiana vol. 5 (1926) pp. 167-173 and 209-214. G. Fubini and E. Čech Introduction à la géométrie projective différentielle des surfaces, Paris, Gauthier-Villars, 1931.
- Gabriel M. Green, Memoir on the general theory of surfaces and rectilinear congruences, Trans. Amer. Math. Soc. 20 (1919), no. 2, 79–153. MR 1501117, DOI 10.1090/S0002-9947-1919-1501117-6
- V. G. Grove, On canonical forms of differential equations, Bull. Amer. Math. Soc. 36 (1930), no. 8, 582–586. MR 1561998, DOI 10.1090/S0002-9904-1930-05006-5
- V. G. Grove, A general theory of surfaces and conjugate nets, Trans. Amer. Math. Soc. 57 (1945), 105–122. MR 11582, DOI 10.1090/S0002-9947-1945-0011582-7
- Ernest Preston Lane, A Treatise on Projective Differential Geometry, University of Chicago Press, Chicago, Ill., 1942. MR 0007286 —Projective differential geometry of curves and surfaces, The University of Chicago Press, 1932.
- Pauline Sperry, Properties of a Certain Projectively Defined Two-Parameter Family of Curves on a General Surface, Amer. J. Math. 40 (1918), no. 2, 213–224. MR 1506353, DOI 10.2307/2370384
- E. J. Wilczynski, Geometrical Significance of Isothermal Conjugacy of a Net of Curves, Amer. J. Math. 42 (1920), no. 4, 211–221. MR 1506415, DOI 10.2307/2370464
Bibliographic Information
- © Copyright 1946 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 60 (1946), 22-50
- MSC: Primary 53.0X
- DOI: https://doi.org/10.1090/S0002-9947-1946-0016230-9
- MathSciNet review: 0016230