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Fordy A.P., Wood J.C. (eds.) — Harmonic maps and integrable systems |
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Предметный указатель |
Primitive maps are harmonic 246
Primitive maps have harmonic projections 246
Primitive maps of finite type 248
Primitive maps of G-finite type 265—267
Primitive maps, zero-curvature equations for 247
Principal realisation 212
Pseudo-action 279
Pseudo-action Birkhoff 279
Pseudo-action Uhlenbeck 279
Pseudo-harmonic maps 30 176
Pseudo-holomorphic 38 50 63 68 277
Quaternion-Kaehler manifold 301
Quaternionic superminimal spheres in 314—315
Quaternionic superminimal spheres in 316—317
Quaternionic superminimal surfaces 298 301
Quaternions 87 130
R-matrices 47 237
R-matrices and the Adler — Kostant — Symes scheme 239
R-matrices on twisted loop algebras 237
R-matrices, classical 187
Reality condition 159—161 166 168 210 216
Reduction theorems 34—35
Regularity of harmonic maps 30
Remarkable identity 35
Richardson element 306 309
Root space 69
Schroedinger equation 12
Schroedinger operator 35
Second fundamental form 30
Self-dual 4—manifold 297 301
Sine-Gordon equation 17 19 35 36 83 115 133 139
Sine-Gordon equation, complex 133
Singularity higher order 64 67
Sinh-Gordon equation 24 25 36 60 96 133 218
Skyrmions 198
Smoke ring 134
Solitary wave 9
Solitons 9 61 83 97 129 147 161 163 168
Solitons, number of 194
Spectral curve 49 136
Spectral parameter 42—51 83 132 135—139 150 214
Spectral transform 13
Spectrum 136
Spin structure 84 89—93 121—126
Spin structure of an immersion 91 96
Spinor 121—126
Springer resolution 309 310
Stress energy 32
Superconformal 50 61 62 64 67 68 72 74 76
Superhorizontal 286
Superhorizontal distribution 298
Superminimal 38 50 63 277 298
Sym formula 134
Symes method for based loop groups 262—263
Symes method for twisted loop groups 257—259
Symmetric spaces 175 239—240
| Symmetric spaces, pseudo-Riemannian 179
Symplectic form, canonical 184
Symplectic manifold 135
Tension field 30 130
Theorem of permutability 18
Toda equations for 78—80
Toda equations for a compact simple Lie group 59 68—72
Toda equations for SO(2m + l) 72—78
Toda equations for SU(n + l) 60 62—68
Toda fields 248—252
Toda fields and holomorphic maps 252
Toda fields zero-curvature equations for 249
Toda fields, geometric interpretation of 250
Toda fields, Lagrangian for 249
Toda frame 71 79 250
Toda lattice 24 227—229
Toda system 50 134 205
Topological charge 198 201
torque 97
Torus 49
Torus with a hole 124 125
Torus, maps from 122 124
Totally geodesic 30 33 41 50
transform 38
Transform flag 41 42 44
Transform Gauss 37 206
Transform Riemann — Hilbert 274
Transform, scattering 13
Translation-holonomy strip 90
Trivialisation 39
Twistor 33 43
Twistor fibration 277 297
Twistor lifts 253
Twistor space 273 285 297
Twistor space of a symmetric space 298
Twistor space, quaternionic 298 301—303
Twistor subfibration 286
Twistorial constructions of harmonic maps 32
Ultralocal, non 186
Un-dressing 152
Uniton 147 170 171 276 283
Uniton number 276
Universal enveloping algebra 188
Variational Principle 97
Veronese sequence 214
Weierstrass representation 84 92
Weingarten surface, linear 134
Wente tori 138
Weyl group 218
Willmore surface 134
Wolf space 301
Yang — Baxter equation 136 188 237
Yang — Mills, self-dual 200
Zakharov — Shabat representation 83
Zero curvature 20 147 151 158
Zero curvature equation 43 131 135—138
Zero curvature representation 178
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