On certain conformal properties of Borůvka surfaces in E 4

Bernard Rouxel

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 4, page 604-613
  • ISSN: 0011-4642

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Rouxel, Bernard. "Sur quelques propriétés conformes des surfaces de Borůvka de $E^4$." Czechoslovak Mathematical Journal 39.4 (1989): 604-613. <http://eudml.org/doc/13807>.

@article{Rouxel1989,
author = {Rouxel, Bernard},
journal = {Czechoslovak Mathematical Journal},
keywords = {Boruvka surface; conformal transformation; minimal surface in },
language = {fre},
number = {4},
pages = {604-613},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sur quelques propriétés conformes des surfaces de Borůvka de $E^4$},
url = {http://eudml.org/doc/13807},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Rouxel, Bernard
TI - Sur quelques propriétés conformes des surfaces de Borůvka de $E^4$
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 604
EP - 613
LA - fre
KW - Boruvka surface; conformal transformation; minimal surface in
UR - http://eudml.org/doc/13807
ER -

References

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  1. Bloch A., Sur les cercles paratactiques et la cyclide de DUPIN, Jour. Math. Pures et Appl. série, t. 3 (1924), pp. 51-77. (1924) 
  2. Borůvka O., Sur une classe de surfaces minima plongées dans un espace à quatre dimensions à courbure constante, Bull. Int. České Akademie věd a umění v Praze, Vol. 29 (1928), pp. 256-277. (1928) 
  3. Borůvka O., Sur les hypercirconférences et certaines surfaces paraboliques dans l'espace euclidien à quatre dimensions, Publications de la Fac. des Sc. de l'Univ. Masaryk. Brno. 1931 pp. 1-40. (1931) Zbl0004.01901
  4. Čech E., Transformations développables des congruences de droites, Czechoslovak Mathematical Journal 6 (81) 1956 pp. 280-286. (1956) MR0089448
  5. Chen B. Y., Some conformal invariants of submanifolds and their applications, Bulletin Q.M.I. Vol. 10, (1974), pp. 380-385. (1974) Zbl0321.53042MR0370436
  6. Hsiung C. C., Mugridge L. R., 10.1007/BF00147929, Geometria Dedicata, vol. 8 (1979), pp. 31-38. (1979) Zbl0406.53010MR0533627DOI10.1007/BF00147929
  7. Robert P., Congruences paratactiques de cycles, Bulletin de l'Association des Professeurs de Mathématiques de l'Enseignement Public, Paris n° 201, 205, 206 (1960). (1960) 
  8. Rouxel B., 10.2996/kmj/1138036318, Kodal Math. Jour. 4 n° 1, (1981), pp. 181-188. (1981) Zbl0467.53004MR0615673DOI10.2996/kmj/1138036318
  9. Rouxel B., Sur les A -surfaces d’un espace-temps de Minkowski M 4 , Rivista Math, della Univ. di Parma (4) 8 (1982) pp. 309-315. (1982) MR0706855
  10. Švec A., Global differential geometry of surfaces, Berlin 1981. (1981) MR0660253
  11. Vincensini P., Sur une représentation quadridimensionnelle ponctuelle de l'espace réglé à trois dimensions, Annali Mat. Pura ed. Appl. (IV) Vol. LXX (1963), pp. 371 - 398. (1963) 
  12. Wong Y. C., 10.1090/S0002-9904-1945-08492-4, Bull. Am. Soc. 51, (1954), pp. 997-1000. (1954) MR0014759DOI10.1090/S0002-9904-1945-08492-4
  13. Wong Y. C., 10.1007/BF02564298, Comment. Mat. Helv. 26, (1952), pp. 152-170. (1952) MR0052171DOI10.1007/BF02564298
  14. Wong Y. C., Linear geometry in Euclidean 4 -space, Hong-Kong, 1977. (1977) Zbl0399.51001MR0482513

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