Surfaces minimales dans 𝐑 3

Celso Costa

Séminaire de théorie spectrale et géométrie (1988-1989)

  • Volume: 7, page 53-91
  • ISSN: 1624-5458

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Costa, Celso. "Surfaces minimales dans $\mathbf {R}^3$." Séminaire de théorie spectrale et géométrie 7 (1988-1989): 53-91. <http://eudml.org/doc/114294>.

@article{Costa1988-1989,
author = {Costa, Celso},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {minimal surfaces; elliptic functions; Weierstraß representation formula},
language = {fre},
pages = {53-91},
publisher = {Institut Fourier},
title = {Surfaces minimales dans $\mathbf \{R\}^3$},
url = {http://eudml.org/doc/114294},
volume = {7},
year = {1988-1989},
}

TY - JOUR
AU - Costa, Celso
TI - Surfaces minimales dans $\mathbf {R}^3$
JO - Séminaire de théorie spectrale et géométrie
PY - 1988-1989
PB - Institut Fourier
VL - 7
SP - 53
EP - 91
LA - fre
KW - minimal surfaces; elliptic functions; Weierstraß representation formula
UR - http://eudml.org/doc/114294
ER -

References

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  2. [2] BARBOSA L., COLARÈS G. - Minimal surfaces in R3, Lecture Notes in Math. Springer ,1195, 1986. Zbl0609.53001
  3. [3] BERS L. - Riemann surfaces, Notes New-York University, Lecture Notes in Math. Springer , 17,18, 1957-58- Zbl1210.30013
  4. [4] COSTA C.J. - Example of a complete minimal immersion in R3 of genus one and three embedded ends, Bol. soc. Brasilcira de Matemaiica, 15 ( 1984),. Zbl0613.53002MR794728
  5. [5] COSTA C.J. - Uniqueness of complete minimal surfaces, J. Differential Geometry, 1989 (à paraître). 
  6. [6] COSTA C.J. - Classification of complete minimal surfaces of total curvature 12π, (Preprint). Zbl0741.53009
  7. [7] COURANT R., HILBERT D. - Methods of Mathematical Physics, vol. 1, Interscience, New-York, 1962. Zbl0099.29504
  8. [8] DO CARMO , MANFREDO. - Differentiable curves and surfaces, Prentice-Hall, New-Jersey, 1976. Zbl0326.53001
  9. [9] HOFMANN. - Mathematical Intelligencer, 1987. 
  10. [10] HOFMANN D., MEEKS W. - A complete embedded minimal surface in R3 with genus one and three ends, J. Differential Geom., 21 ( 1985),. Zbl0604.53002
  11. [11] HOFMANN D. , MEEKS W. - The global theory of property embedded minimal surfaces, (Preprint). 
  12. [12] HOFMANN D. , MEEKS W. - On parameters families of minimal surfaces, (in preparation). 
  13. [13] HUBER A. - On subharmonic functions and differential geometry in the large. Comment Math. Helv., 32 ( 1957), 13-72. Zbl0080.15001MR94452
  14. [14] JORGE L., MEEKS W. - The topology of complete minimal surfaces of finite total curvature, Topology, 22 ( 1983),. Zbl0517.53008MR683761
  15. [15] MACLANE G. - On asymptotic values. Abstract 603-166, Notices Am. Math. Society, 10 ( 1963), 482-483. 
  16. [16] NEVILLE E. - Elliptic functions : a primer, Pergamon Press, 1971. Zbl0229.33004MR499343
  17. [17] OSSERMANN R. - A survey of minimal surfaces, Dower Publications, 1986, 2ème édition. MR852409
  18. [18] OSSERMANN R. - Global properties of minimal surfaces in E3 and En. Ann. of Math., (2) 80 ( 1964). 340-364. Zbl0134.38502MR179701
  19. [19] SCHOEN R. - Uniqueness, symetry and embeddeness of minimal surfaces, J. Differential Geom., 18 ( 1983),. Zbl0575.53037MR730928
  20. [20] SPIVAK M. - A comprehensive introduction to differenlial geometry, Publish or Perish, Inc., Berkeley, 4 ( 1979),. Zbl0439.53001
  21. [21] SPRINGER. - Introduction to Riemann Surfaces, Addison-Wesley Publish, 1979. Zbl0078.06602
  22. [22] TANNERY J. et MOLK R. - Fonctions elliptiques. Vol. 1, 2, 3 et 4, Chelsca,. Zbl27.0335.01

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