Geodesic
On a result of Tzitzeica and a new asymptotic transformation of minimal projective surfaces
Czechoslovak Mathematical Journal, Tome 30 (1980) no. 2, pp. 213-227

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DOI : 10.21136/CMJ.1980.101673
Classification : 53A20 
Marcus, Froim. On a result of Tzitzeica and a new asymptotic transformation of minimal projective surfaces. Czechoslovak Mathematical Journal, Tome 30 (1980) no. 2, pp. 213-227. doi: 10.21136/CMJ.1980.101673
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[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.

[2] E. Y. Wilczynski: Über Flächen mit unbestimmten Direktrixkurven. Mathematische Annalen Vol. 76 (1915), pp. 129-160. | DOI

[3] K. Tzitzeica: Géométrie différentielle projective des réseaux. Académie Roumaine Bucarest, 1923.

[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

[5] G. Fubini E. Čech: Geometria proiettiva diferenziale. T. 1, N. Zanichevlli, Bologna, 1926.

[5'] G. Fubini E. Čech: Introduction a la géométrie projective différentielle de surfaces. chapitre XI, Gauthier-Villars. Paris, 1931.

[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.

[7] F. Marcus: Sur les surfaces minima projectives. Archivum Mathematicum, Tomus 6 1970/3 Brno, pp. 145-147. | MR

[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.

[9] G. Thomsen: Sulle superficie minima proiettive. Annali di Mat. pura ed applicata, Serie IV, 5, 1928, pp. 169-184. | MR

[10] O. Mayer: Contribution à l'étude des surfaces minima projectives. Bul. Sci. Math. T. LVI, 1932, pp. 146-169, 188-200. | Zbl

[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. | MR | Zbl

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