On a result of Tzitzeica and a new asymptotic transformation of minimal projective surfaces
Czechoslovak Mathematical Journal (1980)
- Volume: 30, Issue: 2, page 213-227
- ISSN: 0011-4642
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topMarcus, Froim. "On a result of Tzitzeica and a new asymptotic transformation of minimal projective surfaces." Czechoslovak Mathematical Journal 30.2 (1980): 213-227. <http://eudml.org/doc/13193>.
@article{Marcus1980,
author = {Marcus, Froim},
journal = {Czechoslovak Mathematical Journal},
keywords = {Tzitzeica-Wilczynski surfaces; general asymptotic transformation; minimal projective surface; rectilinear W-congruence; second focal surfaces},
language = {eng},
number = {2},
pages = {213-227},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a result of Tzitzeica and a new asymptotic transformation of minimal projective surfaces},
url = {http://eudml.org/doc/13193},
volume = {30},
year = {1980},
}
TY - JOUR
AU - Marcus, Froim
TI - On a result of Tzitzeica and a new asymptotic transformation of minimal projective surfaces
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 2
SP - 213
EP - 227
LA - eng
KW - Tzitzeica-Wilczynski surfaces; general asymptotic transformation; minimal projective surface; rectilinear W-congruence; second focal surfaces
UR - http://eudml.org/doc/13193
ER -
References
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- E. Y. Wilczynski, 10.1007/BF01458675, Mathematische Annalen Vol. 76 (1915), pp. 129-160. (1915) DOI10.1007/BF01458675
- K. Tzitzeica, Géométrie différentielle projective des réseaux, Académie Roumaine Bucarest, 1923. (1923)
- R. Calapso, Giorgio Tzitzeica e la sua opera, Simpozionul de Geometrie si Analiza globala, p. 21 - 39, Editura Academiei R. S. Romania, Bucarest, 1976. (1976) MR0490858
- G. Fubini E. Čech, Geometria proiettiva diferenziale, T. 1, N. Zanichevlli, Bologna, 1926. (1926)
- G. Fubini E. Čech, Introduction a la géométrie projective différentielle de surfaces, chapitre XI, Gauthier-Villars. Paris, 1931. (1931)
- 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. (1921)
- F. Marcus, Sur les surfaces minima projectives, Archivum Mathematicum, Tomus 6 1970/3 Brno, pp. 145-147. (1970) MR0296830
- 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. (1928)
- G. Thomsen, Sulle superficie minima proiettive, Annali di Mat. pura ed applicata, Serie IV, 5, 1928, pp. 169-184. (1928) MR1553114
- O. Mayer, Contribution à l'étude des surfaces minima projectives, Bul. Sci. Math. T. LVI, 1932, pp. 146-169, 188-200. (1932) Zbl0005.11703
- F. Marcus, Again on the surfaces which allow projective transformation into themselves, Analele ştünţifice ale Universităţü AL. J. Cuza, Iasi T. XXII s. 1, 1976, p. 35 - 48. (1976) Zbl0396.53005MR0642205
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