Applications harmoniques, immersions minimales et transformations conformes de la sphère

Ahmad El Soufi

Compositio Mathematica (1993)

  • Volume: 85, Issue: 3, page 281-298
  • ISSN: 0010-437X

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El Soufi, Ahmad. "Applications harmoniques, immersions minimales et transformations conformes de la sphère." Compositio Mathematica 85.3 (1993): 281-298. <http://eudml.org/doc/90200>.

@article{ElSoufi1993,
author = {El Soufi, Ahmad},
journal = {Compositio Mathematica},
keywords = {minimal immersion; index; harmonic map},
language = {fre},
number = {3},
pages = {281-298},
publisher = {Kluwer Academic Publishers},
title = {Applications harmoniques, immersions minimales et transformations conformes de la sphère},
url = {http://eudml.org/doc/90200},
volume = {85},
year = {1993},
}

TY - JOUR
AU - El Soufi, Ahmad
TI - Applications harmoniques, immersions minimales et transformations conformes de la sphère
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 85
IS - 3
SP - 281
EP - 298
LA - fre
KW - minimal immersion; index; harmonic map
UR - http://eudml.org/doc/90200
ER -

References

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  1. [1] Baird, P. and Eells, J.: A conservation law for harmonic maps, Lecture Notes in Math.894 (1981), 1-25. Zbl0485.58008MR655417
  2. [2] Berger, M., Gauduchon, P. and Mazet, E.: Le spectre d'une variété riemannienne, Lecture Notes in Math.194 (1971). Zbl0223.53034
  3. [3] Eells, J. and Lemaire, L.: Selected topics in harmonic maps, C.B.M.S. Regional Conf. Series 50, A.M.S.Providence (1983). Zbl0515.58011MR703510
  4. [4] El Soufi, A. and Ilias, S.: Le volume conforme et ses applications d'après Li et Yau. Séminaire théorie spectrale et géométrie de l'Institut Fourier, exposé no. VII (1984). Zbl0757.53028
  5. [5] El Soufi, A. and Ilias, S.: Immersions minimales, première valeur propre du Laplacien et volume conforme, Math. Ann.275 (1986), 257-267. Zbl0675.53045MR854009
  6. [6] El Soufi, A. and Ilias, S.: Majoration de la seconde valeur propre d'un opérateur de Schrödinger sur une variété compacte et applications, J. Func. Analysis103(2) (1992), 294-316. Zbl0766.58055MR1151550
  7. [7] El Soufi, A. and Ilias, S.: Une inégalité du type "Reilly" pour les sous-variétés de l'espace hyperbolique, Comment. Math. Helv. (1992), Aparaître. Zbl0758.53029
  8. [8] Leung, P.F.: On the stability of harmonic maps, Lecture Notes in Math.949 (1982), 122-129. Zbl0513.58020MR673586
  9. [9] Li, P. and Yau, S.T.: A new conformal invariant and its applications, etc., Invent. Math.69 (1982), 269-291. Zbl0503.53042MR674407
  10. [10] Montiel, S., Ros, A.: Minimal immersions of surfaces by the first eigenfunctions and conformal area, Invent. Math.83 (1986), 153-166. Zbl0584.53026MR813585
  11. [11] Sealey, H.C.: Some properties of harmonic mappings, Thèse de l'Université de Warwick (1980). Zbl0494.58002
  12. [12] Simons, J.: Minimal varieties in Riemannian manifolds, Ann. of Math.88(2) (1968), 62-105. Zbl0181.49702MR233295
  13. [13] Smith, R.T.: The second variation formula for harmonic mappings, Proc. Amer. Math. Soc.47 (1975), 229-236. Zbl0303.58008MR375386
  14. [14] Urbano, F.: Minimal surfaces with low index in the three-dimensional sphere, Proc. Amer. Math. Soc.108 (1990), 989-992. Zbl0691.53049MR1007516

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