@article{AIHPC_1989__6_6_503_0, author = {Ratto, Andrea}, title = {Equivariant harmonic maps between manifolds with metrics of $(p, q)$-signature}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {503--524}, publisher = {Gauthier-Villars}, volume = {6}, number = {6}, year = {1989}, mrnumber = {1035340}, zbl = {0703.58015}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1989__6_6_503_0/} }
TY - JOUR AU - Ratto, Andrea TI - Equivariant harmonic maps between manifolds with metrics of $(p, q)$-signature JO - Annales de l'I.H.P. Analyse non linéaire PY - 1989 SP - 503 EP - 524 VL - 6 IS - 6 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1989__6_6_503_0/ LA - en ID - AIHPC_1989__6_6_503_0 ER -
Ratto, Andrea. Equivariant harmonic maps between manifolds with metrics of $(p, q)$-signature. Annales de l'I.H.P. Analyse non linéaire, Tome 6 (1989) no. 6, pp. 503-524. http://www.numdam.org/item/AIHPC_1989__6_6_503_0/
[Ba] Harmonic Maps with Symmetries, Harmonic Morphisms and Deformation of Metrics, Research Notes in Math., Pitman, 1983. | Zbl
,[CB] Global Existence Theorems for Hyperbolic Maps, Ann. Inst. Henri Poincaré, Physique théorique, Vol. 46, 1987, pp. 97-111. | Numdam | MR | Zbl
,[EL1] A Report on Harmonic Maps, Bull. London Math. Soc., Vol. 10, 1978, pp. 1-68. | MR | Zbl
and ,[EL2] Another Report on Harmonic Maps, Bull. London Math. Soc. (to appear). | MR | Zbl
and ,[ES] Harmonic mappings of riemannian manifolds, Am. J. Math., Vol. 86, 1964, pp. 109-160. | MR | Zbl
and ,[GV] The Cauchy Problem for the O(N), C P(N-1) and G C(n, p) Models, Ann. Phys., Vol. 142, 1982, pp. 393-415. | MR | Zbl
and ,[GU1] On the Cauchy Problem for Harmonic Maps Defined on Two Dimensional Minkowski Space, Commun. Pure Appl. Math., Vol. 33, 1980, pp. 727-737. | MR | Zbl
,[GU2] On the Harmonic Maps from R1, 1 to S1, 1, J. Reine Ang. Math., Vol. 346, 1984, pp. 101-109. | MR | Zbl
,[Ha] Ordinary Differential Equations, Wiley, 1984. | MR | Zbl
,[HL] On Existence and Non-Existence of Some Harmonic Maps, Preprint, I.C.T.P., 1987.
and ,[KW] Non-Existence Results and Growth Properties for Harmonic Maps and Forms, J. Reine Angew. Math., Vol. 353, 1984, pp. 165-180. | MR | Zbl
and ,[Le] Hyperbolic Differential Equations, I.A.S., Princeton, 1952. | MR
,[Po] Integrable Hamiltonian Systems and Interaction Through Quadratic Constrains, Commun. Math. Phys., Vol. 46, 1976, pp. 207-221. | MR | Zbl
,[PR] Existence and Non-Existence Results for Harmonic Maps Between Spheres, Ann. Sci. Norm. Sup. Pisa, to appear. | Numdam | Zbl
and ,[R1] Construction d'application harmoniques entre sphères euclidiennes, C.R. Acad. Sci. Paris, A 304, Série A, 1987, pp. 185-186. | MR | Zbl
,[R2] Harmonic Maps of Spheres and Equivariant Theory, Ph. D. Thesis, Un. of Warwick, 1987.
,[S1] Harmonic Mappings of Spheres, Amer. J. Math., Vol. 97, 1975, pp. 364-385. | MR | Zbl
,[S2] Harmonic Mappings of Spheres, Ph. D. Thesis, Un. of Warwick, 1972. | MR | Zbl
,[SW] General Relativity for Mathematicians, Springer Verlag, Graduate texts in Math., Vol. 48, 1977. | MR | Zbl
and ,