Indice de Morse des applications harmoniques de la sphère
Compositio Mathematica, Tome 95 (1995) no. 3, pp. 343-362.
@article{CM_1995__95_3_343_0,
     author = {El Soufi, Ahmad},
     title = {Indice de {Morse} des applications harmoniques de la sph\`ere},
     journal = {Compositio Mathematica},
     pages = {343--362},
     publisher = {Kluwer Academic Publishers},
     volume = {95},
     number = {3},
     year = {1995},
     mrnumber = {1318092},
     zbl = {0924.58012},
     language = {fr},
     url = {http://archive.numdam.org/item/CM_1995__95_3_343_0/}
}
TY  - JOUR
AU  - El Soufi, Ahmad
TI  - Indice de Morse des applications harmoniques de la sphère
JO  - Compositio Mathematica
PY  - 1995
SP  - 343
EP  - 362
VL  - 95
IS  - 3
PB  - Kluwer Academic Publishers
UR  - http://archive.numdam.org/item/CM_1995__95_3_343_0/
LA  - fr
ID  - CM_1995__95_3_343_0
ER  - 
%0 Journal Article
%A El Soufi, Ahmad
%T Indice de Morse des applications harmoniques de la sphère
%J Compositio Mathematica
%D 1995
%P 343-362
%V 95
%N 3
%I Kluwer Academic Publishers
%U http://archive.numdam.org/item/CM_1995__95_3_343_0/
%G fr
%F CM_1995__95_3_343_0
El Soufi, Ahmad. Indice de Morse des applications harmoniques de la sphère. Compositio Mathematica, Tome 95 (1995) no. 3, pp. 343-362. http://archive.numdam.org/item/CM_1995__95_3_343_0/

[1] Bums, D., Burstall, F., De Bartolomeis, P. and Rawnsley, J., Stability of harmonie maps of Kähler manifolds, J. Diff. Geom. 30 (1989) 579-594. | MR | Zbl

[2] Eells, J. and Lemaire, L., Selected topics in harmonie maps, C.B.M.S. Regional Conf. Ser. 50, A.M.S., Providence (1983). | MR | Zbl

[3] Eells, J. and Lemaire, L., A report on harmonie maps, Bull. London Math. Soc. 10 (1978) 1-68. | MR | Zbl

[4] El Soufi, A., Applications harmoniques, immersions minimales et transformations conformes de la sphère, Compositio Math. 85(3) (1993). | Numdam | MR | Zbl

[5] El Soufi, A. and Ilias S., Immersions minimales, première valeur propre du Laplacien et volume conforme, Math. Ann. 275 (1986) 257-267. | MR | Zbl

[6] El Soufi, A. and Ilias, S., Une inégalité du type "Reilly" pour les sous-variétés de l'espace hyperbolique, Comment. Math. Helv. 67 (1992) 167-181. | MR | Zbl

[7] Ferreira, M.J., Morse indices for certain harmonie maps of surfaces, Bull Soc. Math. Belg. B36 (1984) 131-153. | MR | Zbl

[8] Gallot, S. and Meyer, D., Opérateur de courbure et Laplacien des formes différentielles d'une variété riemannienne, J. Math. Pures Appl. 54 (1975) 259-289. | MR | Zbl

[9] Iwasaki, I. and Katase, K., On the spectra of Laplace operator on Λ*(Sn), Proc. Japan. Acad. 55, A (1979) 141-145. | Zbl

[10] Lawson, H.B. and Simons, J., On stable currents and their application to global problems in real and complex geometry, Ann. of Math. 98(2) (1973) 427-450. | MR | Zbl

[11] Lichnerowicz, A., Applications harmoniques et variétés Kählériennes, Sympos. Math. 3 (1970) 341-402. | MR | Zbl

[12] Ohnita, Y. and Udagawa, S., Stability of harmonie maps from Riemann surfaces to compact Hermitian symmetric spaces, Tokyo J. Math. 10 (1987) 385-390. | MR | Zbl

[13] Ramanathan, J., A remark on the energy of harmonie maps between spheres, Roky Mountain J. Math. 16 (1986) 783-790. | MR | Zbl

[14] Simons, J., Minimal varieties in Riemannian manifolds, Ann. of Math. 88 (1968) 62-105. | MR | Zbl

[15] Siu, Y.T., The complex analyticity of harmonie maps and the strong rigidity of compact Kähler manifolds, Ann. of Math. 112(2) (1980) 73-111. | MR | Zbl

[16] Siu, Y.T., Yau, S.T., Compact Kähler manifolds of positive bisectional curvature, Invent. Math. 59 (1980) 189-204. | MR | Zbl

[17] Smith, R.T., The second variation formula for harmonie mappings, Proc. Am. Math. Soc. 47 (1975) 229-236. | MR | Zbl

[18] Urakawa, H., Stability of harmonie maps and eigenvalues of the Laplacian, Trans. Amer. Math. Soc. 301 (1987) 557-589. | MR | Zbl

[19] Xin, Y.L., Some results on stable harmonie maps, Duke Math. J. 47 (1980) 609-613. | MR | Zbl