Fordy A.P., Wood J.C. (eds.) — Harmonic maps and integrable systems :: Электронная библиотека попечительского совета мехмата МГУ

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Fordy A.P., Wood J.C. (eds.) — Harmonic maps and integrable systems

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Название: Harmonic maps and integrable systems

Авторы: Fordy A.P., Wood J.C. (eds.)

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 316

Добавлена в каталог: 11.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

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 $Gr_{4}(\mathbb{R}^{4})$       314—315
Quaternionic superminimal spheres in $G_{2}\/SO(4)$       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 $G_{2}$       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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