Surfaces minimales bordées par quatre droites

Rabah Souam

Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)

  • Volume: 5, Issue: 1, page 137-153
  • ISSN: 0240-2963

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Souam, Rabah. "Surfaces minimales bordées par quatre droites." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.1 (1996): 137-153. <http://eudml.org/doc/73373>.

@article{Souam1996,
author = {Souam, Rabah},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Scherk minimal surface; Karcher minimal surface; Alexandrov reflection principle; embedded minimal surfaces},
language = {fre},
number = {1},
pages = {137-153},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Surfaces minimales bordées par quatre droites},
url = {http://eudml.org/doc/73373},
volume = {5},
year = {1996},
}

TY - JOUR
AU - Souam, Rabah
TI - Surfaces minimales bordées par quatre droites
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 1
SP - 137
EP - 153
LA - fre
KW - Scherk minimal surface; Karcher minimal surface; Alexandrov reflection principle; embedded minimal surfaces
UR - http://eudml.org/doc/73373
ER -

References

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  1. [1] Jenkins ( H.) et Serrin ( J.) .- Variational problems of minimal surface type II, Arch. Rat. Mech. Analysis21 (1966), pp. 321-342. Zbl0171.08301MR190811
  2. [2] Karcher ( H.) .- Embedded minimal surfaces derived from Scherk's examples, Manus. Math.62 (1988), pp. 83-114. Zbl0658.53006MR958255
  3. [3] Karcher ( H.) .— Construction of minimal surfaces, Surveys in Geometry, University of Tokyo (1989), pp. 1-96. 
  4. [4] Langevin ( R.), Levitt ( G.) et Rosenberg ( H.) .— Complete minimal surfaces with long line boundaries, Duke Math. Journal55 (1987), pp. 77-84. Zbl0637.53007MR916132
  5. [5] MEEKS III ( W.) et Rosenberg ( H.) .— The global theory of doubly periodic minimal surfaces, Invent. Math.97 (1989), pp. 351-379. Zbl0676.53068MR1001845
  6. [6] MEEKS III ( W.) et Rosenberg ( H.) .— The geometry of periodic minimal surfaces, Comment. Math. Helv.68 (1993), pp. 538-578. Zbl0807.53049MR1241472
  7. [7] Nitsche ( J.C.C.) .— Lectures on minimal surfaces, Vol. 1, Cambridge University Press. Zbl0688.53001MR1015936
  8. [8] Rosenberg ( H.) .— Some recent developements in the theory on properly embedded minimal surfaces in R3, Séminaire Bourbaki 44-ème année (1991-92), 759. Zbl0789.53003
  9. [9] Scherk ( H.F.) J. R. Angew Math.13 (1835), p. 185. 
  10. [10] Schoen ( R.) .— Uniqueness, symmetry ans embeddedness of minimal surfaces, J. Diff. Geom18 (1983), pp. 791-809. Zbl0575.53037MR730928
  11. [11] Wei ( F.). — Some existence and uniqueness theorems for doubly periodic minimal surfaces, Invent. Math109 (1992), pp. 113-136. Zbl0773.53005MR1168368

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