Indice de Morse des applications harmoniques de la sphère
Compositio Mathematica, Tome 95 (1995) no. 3, pp. 343-362.
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     url = {http://www.numdam.org/item/CM_1995__95_3_343_0/}
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El Soufi, Ahmad. Indice de Morse des applications harmoniques de la sphère. Compositio Mathematica, Tome 95 (1995) no. 3, pp. 343-362. http://www.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