A new foundation of the projective differential theory of curves in five-dimensional space
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- by Su-Cheng Chang PDF
- Trans. Amer. Math. Soc. 59 (1946), 132-165 Request permission
References
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Bompiani, Per lo studio proiettivo-differenziale della singolarità, Boll. dell’Unione Mat. Italiana vol. 5 (1926) pp. 118-120.
Chang, A generalization of sextactic points of a plane curve, not yet published.
- Su-Cheng Chang, The point of inflexion of a plane curve, Duke Math. J. 9 (1942), 823–832. MR 7607 —, On the point of inflexion of a space curve, To be published in Revista de Tucumàn, Argentina. —, On the singularity $S_1^4$ of a plane curve, not yet published.
- Su-Cheng Chang, The singularity $S_1^m$ of a plane curve, Duke Math. J. 9 (1942), 833–845. MR 7608 —, Researches on the projective differential theory of singular points, I, II, to be published in Amer. J. Math.
- Ernest P. Lane, The neighborhood of a sextactic point on a plane curve, Duke Math. J. 1 (1935), no. 3, 287–292. MR 1545877, DOI 10.1215/S0012-7094-35-00119-3
- T. Levi-Civita and G. Fubini, Sulle curve analoghe al circolo osculatore quando si passa da tre a quattro punti infinitamente vicini, Ann. Mat. Pura Appl. 7 (1929), no. 1, 193–211 (Italian). MR 1553142, DOI 10.1007/BF02409974 Sannia, Nuova trattazione della geometria proiettiva differenziale delle curve sghembe, Memoir I, Annali di Matematica (4) vol. 1 (1924) pp. 1-18; Memoir II, ibid, vol.3 (1926) pp. 1-25. Su, Contributions to the projective theory of curves in space of five dimensions, to be published in Duke Math. J.; an abstract of this paper will appear in Science Record, Academia Sinica. —, Note on the projective differential geometry of space curves, Journal of the Chinese Mathematical Society vol. 1 (1937) pp. 98-137. Vychyclo, Interpretazione geometrica della curvatura proiettiva della curve plane, Bollettino dell’Unione Matematica Italiana vol. 17 (1938) pp. 74-77.
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Additional Information
- © Copyright 1946 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 59 (1946), 132-165
- MSC: Primary 53.0X
- DOI: https://doi.org/10.1090/S0002-9947-1946-0015262-4
- MathSciNet review: 0015262