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

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

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

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

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

$CP^{1}$ model      194 196—199
$sl(2, \mathbb{C})$ -triple      303 307
$S^{1}$ -action      44
$\partial$ —transform      37 206 213
$\sigma$ -model      30 176 273
$\tau$ -function      14 50 213 217
$\theta$ —function      50 206 207 215 217
(1, 1)-geodesic map      317
Action group      278—289
Action integral      30
Action Terng      282
Action Uhlenbeck      284
Action, co-adjoint      46
Action, natural      206 211 214 216 282—284
Adler — Kostant — Symes scheme      223—229
Adler — Kostant — Symes scheme and r-matrices      239
Adler — Kostant —Symes scheme in infinite dimensions      231—232
Adler — Kostant —Symes scheme on loop algebras      232—234
Almost complex curve      61 79
Almost complex torus      79
Associate minimal surfaces      42
Associated family      139
Associative 3—planes      315 316
Asymptotic coordinates      17 133
Asymptotic line      111 118 129
Asymptotic line parametrisation      116 117
Automorphism involutive      189
Baecklund transform      17 19 24 25 36 37 41 83 139
Baecklund — Darboux transform      118
Baker function      207 208 216—218
Balanced diagram      96—98
Bianchi diagram      18
Bianchi surfaces      84 116—118 121
Birkhoff decomposition      278
Birkhoff factorisation      217 218
Bogomolny bound      194 198 200
Bonnet surface      84
Bonnet's theorem      134
Borel algebra      304 307
Branch point      32
Bryant correspondence      299 304
Canonical fibration      306
Canonical fibration, associated map of      304 309 310
Cartan immersion      183
Cartan, embedding      41 50 264 284
Casimir      189
Cayley algebra      315
Chebyshev net      115
Chiral      183
Chiral field      149 156 159 163 165 166 169
Chiral model      151 155 159 199
Chiral SU(2)-model      195 196
Clifford torus      76
Cobordant      124
Codazzi — Mainardi equation      36 113
Codazzi — Mainardi — Ricci equations      50
Compatibility condition      36 83 86 88 108 109 113 116 117 120 134 209 211
Complex analytic map      31
Composition law      33
conformal      43
Conformal horizontally      33
Conformal invariance      31 33
Conformal weakly      31—33 277 297 298
Conservation laws      9 10 31 35
Conserved density      9
Constant Gauss curvature      83 84 111—115 129 134 137 138
Constant mean curvature      32 36 37 42 50 60 84 94—101 129 138 139 218
Coxeter — Killing automorphism      215
Critical point      29 31
Current      176
Current left      149 151 160 163 165
Curvature line      93 138
Curvature line coordinates      133
Deformation of a surface      83 84 94 105 106 109 114 117 119 120 122 123
Deformation parameter      94 103 105 109 114
Dirichlet integral      30
Dodd — Bullough equation      24 85
Dressing      84 147 148 153—156 159 170 278—280
Dressing orbit      206
Dressing transform      42
Dual surface      93
Dual symmetry      178
Einstein manifold      301
Ellipse of curvature      77
Elliptic function      35
Energy density      29
Energy integral      29 240
Energy, functional      188 194
Enneper surface      139
Equiharmonic map      70 211 213—215 246
Euler — Lagrange equation      130
Extended framings      257—259
Extended solutions      43 263 274 275
F-structure      213
Factorisation      42 276 283
Factorisation of Lax operator      17
Factorisation problem      148 152—156 161
Finite gap      84 118
Finite type      50 59 68 72 76 79 243
Flag manifold      307
Flag manifolds      298 304
Flag manifolds as k-symmetric spaces      250
Flag manifolds complete      305 310
Flag space      207—208 277
Flag, canonical      282
Flag, manifolds maps into      62
Flag, periodic      212 216
Flatness condition      131
Flip number      89 91 123
Flux      9
force      97
Gauge      39
Gauge group      132
Gauge theory      273
Gauge transformation      25 39
Gauss bundle      277
Gauss equation      36 96 115 116
Gauss map      32 35 37 43 60 92 95 118 133 218
Gauss — Codazzi equations      83 86 94 114 116 119
Gauss — Weingarten equations      36 83 86 93
Geodesic      30
Grassmannian      32 41 207—208
Hamiltonian bi-system      129 137
Hamiltonian system      35 135—138
Hamiltonian theory      47
Hamiltonian vector field      46 47 185
Harmonic $1/\sqrt{K}$       120
Harmonic conjugate      42
Harmonic function      30
Harmonic inverse mean curvature      84
Harmonic maps      29 130 150 160 165 168 169
Harmonic maps and minimal surfaces      32
Harmonic maps between Kaehler manifolds      31
Harmonic maps equivariant      34—35 221
Harmonic maps examples      30—33
Harmonic maps existence problem      34
Harmonic maps from a pseudo-Riemannian manifold      30 117
Harmonic maps from a surface      31 38 41 62
Harmonic maps from a torus      34 35 50 67—68 72 76 79 206 217—218
Harmonic maps from the 2—sphere      31 206
Harmonic maps nonexistence      34
Harmonic maps submersive      32
Harmonic maps to a complex projective space      211—215
Harmonic maps to a flag manifold      206 211—215
Harmonic maps to a homogeneous space      40
Harmonic maps to a Lie group      39—51 260—263 274—284
Harmonic maps to a Lie group of finite type      261—263
Harmonic maps to a Lie group of finite uniton number      267
Harmonic maps to a quaternionic projective space      289
Harmonic maps to a reductive homogeneous space      240—243

Harmonic maps to a sphere      34 35 50 72 253
Harmonic maps to a symmetric space      50 130 243—245 284—287
Harmonic maps to a symmetric space of finite type      243—245
Harmonic maps to a symmetric space of G-finite type      265—267
Harmonic maps to a unitary group      41—42
Harmonic maps to the 4—sphere      298—300 313 315
Harmonic maps to the 6—sphere      78
Harmonic maps twistorial constructions      32
Harmonic maps, conformal      42 50
Harmonic maps, deformations of      273 287—289
Harmonic maps, framings of      241
Harmonic maps, gauge-theoretic formulation of      242
Harmonic maps, reducible      289
Harmonic maps, spaces of      274 276 287—289
Harmonic maps, weakly conformal      32
Harmonic morphism      33 35
Harmonic sequence      38 61 62 206 213 214
Heat equation      34
Hidden symmetry      273
Higher fundamental form      77
Highest root nilpotent orbit      302 310
Hill's operator      35
Holomorphic map      31 44 50 277
Holomorphic section      37
Holomorphic, quadratic differential      31 37 38
Homogeneous space      177
Homogeneous space, naturally      177
Homogeneous space, reductive      177
Homotopic regularly      123
Homotopy class      34
Hopf problem      138
Hopf, differential      92
Horizontal distribution      298 300 301
Horizontal holomorphic curve      298 300 301 314 315 317
Horizontal holomorphic map      44 55
Inclusive map      301
Infinitesimal action      273
Integrability complete      130 136 187 205
Integrability conditions      39 42 45 63 67 72 131 133 275
Integrability Liouville      183
Integrable      83
Integrable system      273
Isospectral flow      13 16
Isothermal parametrisation      93
Isotopy      123
Isotropic      277 288—289
Isotropic complex      38 63
Isotropic real      50 298
Isotropic strongly      277 289
Isotropy dimension      253
Isotropy order      38 39 64 277
Isotropy, total      39
Iwasawa decomposition      210—212 214 215 218 281
Iwasawa decomposition of a semisimple Lie algebra      228
Iwasawa decomposition of twisted loop algebras      232
Iwasawa decomposition of twisted loop groups      256—257
Jacobi identity, violation of      190
Jacobian      136
Jacobian variety      49 218
K-symmetric space      50 69 239—240
Kac-Moody algebra      205 273
Kac-Moody group      274
Kaehler angle      68
Kaehler manifold      31
KdV equation      8 23 49 206 215
Kink      18
Koszul — Malgrange holomorphic structure      31 37
Lagrangian      195
Laplace's equation      30 33
Laplacian      30 130
Lax equation      187
Lax equations      48 49 137 234
Lax form      187
Lax hierarchy      15
Lax representation      13 83 95 96 115 116 118
Lie algebra      39
Lie algebra, metrisable      177
Lie group      39
Lie sphere geometry      134
Lines of curvature      60
Loop algebras      154 276
Loop algebras, based      260
Loop algebras, twisted      133 232—234
Loop group      161 207 212 215 274 276
Loop group Grassmannian model      280—282
Loop group Grassmannian model of 1—forms      43
Loop group Grassmannian model of connections      137
Loop group Grassmannian model of maps      42—44 133
Loop group Grassmannian model space      44
Lorentz-harmonic maps      117
Maurer — Cartan equations      39 229—231 275
Maurer — Cartan form      39 40 213
Maurer — Cartan form of a Lie group      229
Maurer — Cartan form of a reductive homogeneous space      240
Metric Minkowski      130 133
Metric Sasaki      184
Metric, pseudo-Riemannian      130 133
Minimal branched immersion      32
Minimal fibres      33
Minimal immersion      35
Minimal submanifold      32
Minimal surface      61 84 92—93 129
Miura map      11
MKdV equation      10 23
MKdV hierarchy      17
Moment map      40
Momentum      97
Momentum functional      288
monodromy      89 96—98 121—126 217 218
Monodromy matrices      190
Morse — Bott function      287
Multi-solitons      84
Neumann equation      35
Nilpotent orbits      302
Nilpotent orbits in $g_{2}^{\mathbb{C}}$       308
Nilpotent orbits in $sl(n, \mathbb{C})$       306
Nilpotent orbits, characteristic numbers of      308
Nilpotent orbits, finite covers of      311
Nilpotent orbits, minimal      302 305 310
Nilpotent orbits, regular      302 310
Nilpotent variety      302 309
NLS equation      22
Noether's theorem      40
Nonlinear superposition formula      18
O(3)- $\sigma$ -model      194
Octonions      315
One-parameter family of harmonic maps      42
One-parameter family of surfaces      94 101 105 109 111 114 117 119 120
Pants, pair of      123
Parabolic algebra      304 307
Parallel mean curvature      32
Parallel surfaces      98—111
Parity of the spin structure      92 126
Parity of twists      90 91 93
Pauli matrices      87
Pendulum equation      35
Peterson surface      117
Pluriharmonic maps      49 236
Pohlmeyer      182
Poisson bracket      47 185 186
Poisson manifold      47 135
Poisson structure      46 135
Poisson structures      224
Poisson structures from r-matrices      237
polar      75
Polarisation      306
Polynomial flows      21
Polynomial Killing field      138
Primitive maps      61 62 55 68—72 76 213—215 245—248
Primitive maps and twistor lifts      253—256

1 2

О проекте