@article{CM_1995__98_2_177_0, author = {Nayatani, Shin and Urakawa, Hajime}, title = {Morse indices of {Yang-Mills} connections over the unit sphere}, journal = {Compositio Mathematica}, pages = {177--192}, publisher = {Kluwer Academic Publishers}, volume = {98}, number = {2}, year = {1995}, mrnumber = {1354267}, zbl = {0836.53017}, language = {en}, url = {http://archive.numdam.org/item/CM_1995__98_2_177_0/} }
TY - JOUR AU - Nayatani, Shin AU - Urakawa, Hajime TI - Morse indices of Yang-Mills connections over the unit sphere JO - Compositio Mathematica PY - 1995 SP - 177 EP - 192 VL - 98 IS - 2 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1995__98_2_177_0/ LA - en ID - CM_1995__98_2_177_0 ER -
Nayatani, Shin; Urakawa, Hajime. Morse indices of Yang-Mills connections over the unit sphere. Compositio Mathematica, Volume 98 (1995) no. 2, pp. 177-192. http://archive.numdam.org/item/CM_1995__98_2_177_0/
[BL] Stability and isolation phenomena for Yang-Mills fields, Commun. Math. Phys. 79 (1981), 189-230. | MR | Zbl
,[E1] Applications harmoniques, immersions minimales et transformations conformes de la sphère, Compositio Mathematica 85 (1993), 281-298. | Numdam | MR | Zbl
,[E2] Indice de Morse des applications harmoniques de la sphere, to appear in Compositio Mathematica. | Numdam | MR
,[EI] Une inégalité du type "Reilly" pour les sous-variétés de l'espace hyperbolique, Comment. Math. Helv. 67 (1992), 167-181. | MR | Zbl
and ,[KN] Foundations of Differential Geometry, vol. I, John Wiley and Sons, New York, 1963. | MR | Zbl
and ,[KOT] On instability of Yang-Mills connections, Math. Zeit. 193 (1986), 165-189. | MR | Zbl
, and ,[L] Stability properties of the Yang-Mills functional near the canonical connection, Michigan Math. Jour. 31 (1984), 139-159. | MR | Zbl
,[O] Conformal transformations of Riemannian manifolds, Jour. Differential Geom. 4 (1970), 311-333. | MR | Zbl
,[S] The second variation formula for harmonic mappings, Proc. Amer. Math. Soc. 47 (1975), 229-236. | MR | Zbl
,[U] Stability of harmonic maps and eigenvalues of Laplacian, Trans. Amer. Math. Soc. 301 (1987), 557-589. | MR | Zbl
,[X] Some remarks on stable harmonic maps, Duke Math. Jour. 47 (1980), 609-613. | MR | Zbl
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