Construction de surfaces à courbure moyenne constante

Frank Pacard

Séminaire de théorie spectrale et géométrie (1998-1999)

  • Volume: 17, page 139-157
  • ISSN: 1624-5458

How to cite

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Pacard, Frank. "Construction de surfaces à courbure moyenne constante." Séminaire de théorie spectrale et géométrie 17 (1998-1999): 139-157. <http://eudml.org/doc/114430>.

@article{Pacard1998-1999,
author = {Pacard, Frank},
journal = {Séminaire de théorie spectrale et géométrie},
language = {fre},
pages = {139-157},
publisher = {Institut Fourier},
title = {Construction de surfaces à courbure moyenne constante},
url = {http://eudml.org/doc/114430},
volume = {17},
year = {1998-1999},
}

TY - JOUR
AU - Pacard, Frank
TI - Construction de surfaces à courbure moyenne constante
JO - Séminaire de théorie spectrale et géométrie
PY - 1998-1999
PB - Institut Fourier
VL - 17
SP - 139
EP - 157
LA - fre
UR - http://eudml.org/doc/114430
ER -

References

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  1. [1] C. DELAUNAY, Sur la surface de révolution dont la courbure moyenne est constante, J. de Mathématiques, 6(1841) 309-320. 
  2. [2] J. EELLS, On the surfaces of Delaunay and their Gauss maps. Proc. IV int. Colloq. Differential geometry, Santiago de Compostela 1978, 97-116 ( 1979). Zbl0433.53004MR569313
  3. [3] K. GROSSE-BRAUCKMANN, New surfaces of constant mean curvature, Math. Z. 214 ( 1993) 527-565. Zbl0806.53005MR1248112
  4. [4] K. GROSSE-BRAUCKMANN, R. Kusner et J. Sullivan, Constant mean curvature surfaces with three ends. To appear. Zbl0980.53011MR1806797
  5. [5] N. KAPOULEAS, Complete constant mean cuvature surfacesin Euclidean three space, Ann. of Math. (2) 131 ( 1990), 239-330. Zbl0699.53007MR1043269
  6. [6] N. KOREVAAR, R. KUSNER et B. SOLOMON, The structure of complete embedded surfaces with constant mean curvature, J. of Diff. Geometry, 30 ( 1989) 465-503. Zbl0726.53007MR1010168
  7. [7] R. KUSNER, R. MAZZEO et D. POLLACK, The moduli space of complete embedded constant mean curvature surfaces, Geom. Funct. Anal. 6 ( 1996) 120-137. Zbl0966.58005MR1371233
  8. [8] R. MAZZEO et F. PACARD, Constant mean curvature surfaces with Delaunay ends. On peut trouver le fichier ps à l'adresse suivante http://xxx.lanl.gov/ps/math.DG/9807039 Zbl1005.53006
  9. [9] R. MAZZEO, F. PACARD et D. POLLACK, Connected sums of constant mean curvature surfaces in Euclidean 3 space. On peut trouver le fichier ps à l'adresse suivante http://xxx.lanl.gov/ps/math.DG/9905077 Zbl0972.53010
  10. [10] R. MAZZEO, D. POLLACK et K. UHLENBECK, Connected sum constructions for constant scalar curvature metries, Top. Methods Nonlin. Anal. 6 No. 2, ( 1995), 207-233. Zbl0866.58069MR1399537
  11. [11] J. PEREZ et A. Ros, The space of properly embedded minimal surfaces with finite total curvature, Indiana Uni. Math. J. 45 ( 1996) 177-204. Zbl0864.53008MR1406689
  12. [12] R. SCHOEN , The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation. Comm. Pure and Appl. Math. XLI ( 1988), 317-392. Zbl0674.35027MR929283
  13. [13] H. WENTE, Complete immersions of constant mean curvature, Proc. Sympos. Pure Math. 54 Amer. Math. Soc. ( 1993). Zbl0967.53506MR1216602

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