Indice de Morse des applications p-harmoniques

Ahmad El Soufi; Albert Jeune

Annales de l'I.H.P. Analyse non linéaire (1996)

  • Volume: 13, Issue: 2, page 229-250
  • ISSN: 0294-1449

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El Soufi, Ahmad, and Jeune, Albert. "Indice de Morse des applications p-harmoniques." Annales de l'I.H.P. Analyse non linéaire 13.2 (1996): 229-250. <http://eudml.org/doc/78381>.

@article{ElSoufi1996,
author = {El Soufi, Ahmad, Jeune, Albert},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Morse index; -harmonic maps},
language = {fre},
number = {2},
pages = {229-250},
publisher = {Gauthier-Villars},
title = {Indice de Morse des applications p-harmoniques},
url = {http://eudml.org/doc/78381},
volume = {13},
year = {1996},
}

TY - JOUR
AU - El Soufi, Ahmad
AU - Jeune, Albert
TI - Indice de Morse des applications p-harmoniques
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1996
PB - Gauthier-Villars
VL - 13
IS - 2
SP - 229
EP - 250
LA - fre
KW - Morse index; -harmonic maps
UR - http://eudml.org/doc/78381
ER -

References

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  1. [1] J. Eells et L. Lemaire, Selected topics in harmonic maps, C.B.M.S. Regional Conf. Ser. 50, A.M.S., Providence, 1983. Zbl0515.58011MR703510
  2. [2] A. El Soufi, Applications harmoniques, immersions minimales et transformations conformes de la sphère, Compositio Math., vol. 85, 1993, p. 281-298. Zbl0777.58010MR1214448
  3. [3] A. El Soufi, Indice de Morse des Applications harmoniques de la sphère, Compositio Math., vol. 95, 1995, p. 343-362. Zbl0924.58012MR1318092
  4. [4] A. El Soufi et S. Ilias, Immersions minimales, première valeur propre du Laplacien et volume conforme, Math. Ann., vol. 275, 1986, p. 257-267. Zbl0675.53045MR854009
  5. [5] A. El Soufi et S. Ilias, Une inégalité du type « Reilly » pour les sous-variétés de l'espace hyperbolique, Comment. Math. Helv., vol. 67, 1992, p. 167-181. Zbl0758.53029MR1161279
  6. [6] A. El Soufi et A. Jeune, Indice de Morse des Applications p-harmoniques, C. R. Acad. Sci. Paris, t. 315, série I, 1992, p. 1189-1192. Zbl0769.58011MR1194515
  7. [7] A. Jeune, Thèse, Université de Tours, 1993. 
  8. [8] P.F. Leung, On the stability of harmonic maps, Lecture Notes in Math. n° 949, 1982, p. 122-129. Zbl0513.58020MR673586
  9. [9] E. Mazet, La formule de la variation seconde de l'énergie etc., J. Diff. Geom., vol. 8, 1973, p. 279-296. Zbl0301.53012MR336767
  10. [10] J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math., vol. 88, 1968, p. 62-105. Zbl0181.49702MR233295
  11. [11] R.T. Smith, The second variation formula for harmonic mappings, Proc. Amer. Math. Soc., vol. 47, 1975, p. 229-236. Zbl0303.58008MR375386
  12. [12] K. Uhlenbeck, Minimal Spheres and other conformal Variationnal problems, Seminar on Minimal Submanifolds, Princeton University press, 1983, p. 169-176. Zbl0535.53050MR795234
  13. [13] Y.L. Xin, Some results on stable harmonic maps, Duke Math. J., vol. 47, 1980, p. 609-613. Zbl0513.58019MR587168
  14. [14] K. Yano et S. Bochner, Curvature and Betti numbers, Ann. of Math. Studies, n° 32, Princeton Univ. press, 1953. Zbl0051.39402MR62505

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