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Title: On a result of Tzitzeica and a new asymptotic transformation of minimal projective surfaces (English)
Author: Marcus, Froim
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 30
Issue: 2
Year: 1980
Pages: 213-227
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Category: math
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MSC: 53A20
idZBL: Zbl 0449.53006
idMR: MR566048
DOI: 10.21136/CMJ.1980.101673
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Date available: 2008-06-09T14:38:49Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101673
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Reference: [1] G. Tzitzeica: Sur une nouvelle classe de surfaces.С. R. Acad. Sci. Paris T. 144 (1907), p. 1257-1259, T. 150 (1910), p. 955-956, ou Oeuvres T. 1. Bucarest Imprimeria Nationale 1941, Acad. R. S. România pp. 128-130, 188-190, 191-192.
Reference: [2] E. Y. Wilczynski: Über Flächen mit unbestimmten Direktrixkurven.Mathematische Annalen Vol. 76 (1915), pp. 129-160. 10.1007/BF01458675
Reference: [3] K. Tzitzeica: Géométrie différentielle projective des réseaux.Académie Roumaine Bucarest, 1923.
Reference: [4] R. Calapso: Giorgio Tzitzeica e la sua opera, Simpozionul de Geometrie si Analiza globala.p. 21 - 39, Editura Academiei R. S. Romania, Bucarest, 1976. MR 0490858
Reference: [5] G. Fubini E. Čech: Geometria proiettiva diferenziale.T. 1, N. Zanichevlli, Bologna, 1926.
Reference: [5'] G. Fubini E. Čech: Introduction a la géométrie projective différentielle de surfaces.chapitre XI, Gauthier-Villars. Paris, 1931.
Reference: [6] H. Ionas: Sopra una classe di trasformazioni asintotiche, applicabili in particolare alle superficie la cui curvatura è proporzionale alla quarta potenza della distanza del piano tangente da un punto fisso.Annali di Mat. pura, ed. applicata. Vol. XXX, série III, 1921, pp. 223-255.
Reference: [7] F. Marcus: Sur les surfaces minima projectives.Archivum Mathematicum, Tomus 6 1970/3 Brno, pp. 145-147. MR 0296830
Reference: [8] E. Čech: Sur les correspondances asymptotiques entre deux surfaces.Atti R. Acad. Naz. des Lincei seria sesta, Vol. VIII, 1928, pp. 484-486, 552-554.
Reference: [9] G. Thomsen: Sulle superficie minima proiettive.Annali di Mat. pura ed applicata, Serie IV, 5, 1928, pp. 169-184. MR 1553114
Reference: [10] O. Mayer: Contribution à l'étude des surfaces minima projectives.Bul. Sci. Math. T. LVI, 1932, pp. 146-169, 188-200. Zbl 0005.11703
Reference: [11] F. Marcus: Again on the surfaces which allow $\infty^2$ projective transformation into themselves.Analele ştünţifice ale Universităţü AL. J. Cuza, Iasi T. XXII s. 1, 1976, p. 35 - 48. Zbl 0396.53005, MR 0642205
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