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Авторизация |
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Ward R.S., Wells R.O. — Twistor geometry and field theory |
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Предметный указатель |
Real-axis 355 357
Reality condition 391 416 418 419 445
Reality constraints 393
Rebbi, C. 276 278
Regular representation 128
Relative cohomology 161 355 366
Relative cohomology exact sequence 369
Relative cohomology group 356 422
Relative de Rham complex 302 307 313 340 348 382
Relative de Rham operator 303 382
Relative de Rham sequence 304 313 319 337 347 382 465
Relative exterior derivative 398
Relative forms 305 306
Relativity theory 1 3
Repeated index 129
Resolution 176 228
Restricted Lorentz group 47 60
Restricted Poincare group 60
Restriction mapping 97 167 168— 180
Ricci identity 443
Ricci tensor 286 287 288 294 440
Richard, J.L. 415
Riemann curvature tensor 286
Riemann sphere 10 62 377 380 383 384 426
Riemann surface 7 85 148 185 189 192 193 196
Riemann tensor 288
Riemann — Roch theorem 86
Riemann, B. 7
Riemannian geometry 129
Riemannian manifold 146 212 295
Riemannian metric 121 122 208
Riemannian space 294 445 457
Right-flat vacuum spaces 294
Right-handed massless fields 250 331 334
Rindler, W. 121 125 241 246 250 257 258 260 286—291 311 350 472
Ringed space 461 473 475 476—480
Rogers, A. 473
Rosenblum, P.M. 473
Rossi, P. 15 185 382 424
Rothstein, M. 473 480
Rouhani, S. 431
Salamon, S. 449
sans serif font 120
Sato's microfunctions 367
Sato, M. 367
Saveliev, M.V. 284
Scalar curvature 287 292 295 440 443
Scalar field 242 254 267 280 289 291 423
Scalar function 105 291 406
Schapira, P. 209 359
Scheme 478
Schwartz, L. 359
Schwarz, A.S. 276
Schwarzschild space 295
Second filtration 221 231
Second order differential equations 242 334 336
Section 72 74 167 355
Seifert, H.-J. 473
Self-dual complex planes 434
Self-dual complex two-planes 372
Self-dual field equations 423 459
Self-dual fields 274 387
Self-dual gauge fields 267 371 397
Self-dual gauge-field equations 397 448
Self-dual instantons 275 277 278
Self-dual Maxwell field 338 414
Self-dual Maxwell's equations 349
Self-dual monad 415
Self-dual part 249 266 273 287 293 294 312 373
Self-dual plane 372—374 434
Self-dual solutions 267 274
Self-dual space 446
Self-dual space-time 286 433 448 451
Self-dual surface 434 435 436—439 443 444 449
Self-dual two-forms 244 273 312 373
Self-duality condition 277 278 293 459
Self-duality equation 266 267 371 277 397 432
Semisimple complex groups 37
Semisimple real groups 37
Serre duality 316 317 322 338 339
Serre, J.-P. 2 166
Several complex variables 2 166 342
Sheaf 67
Sheaf cohomology 2 148 153 161 175 176 178 179 184 185 191 194 196—198 200 206 230 301 302 355
Sheaf cohomology group 182 350 383 399 404
Sheaf morphism 169 172 173 175
Sheaf theory 2 148 157 166 171
Shirokov, A.P. 46
Shirokov, P.A. 46
Shnider, S. 473 481 483 484
Short exact sequence 170 173 175 180 207 213 216 237 345
Sibner, L.M. 278
Sibner, R.J. 278
Simple poles 353
Simply-connected space 164
Singer, I.M. 86 275—278 389—391 413 445
Single-fibration picture 372 387
Singular chains 154 160
Singular cochains 159
Singular cohomology 160 161 182 184 200 232
Singular homology groups 157 160
Singular point 477 478
Singular simplex 154
Skew spinors 247
Skew-symmetric bilinear form 138
Skew-symmetric fc-fold tensor product 26
Skew-symmetric form 130
Smooth (p, q)-forms 168 171
Smooth differential forms 119 182
Smooth function 13 82 168 170 182 183 206 357
Smooth line bundles 195
Smooth manifold 39 286
Smooth mapping 74 96
Smooth maps 141
Smooth relative p-forms 328
Smooth sections 79 92 168 328
Smooth vector bundle 118 328
Smooth vector fields 93 168
SO(4)-frame bundles 215
SO(p, q)-manifold 212
Sommerfield, C.M. 284
Source-free Maxwell equations 244 245 248 249 252 255 266 279
Source-free Maxwell field 243 258
Southern hemisphere 391
Space-reflection 259
Space-time 1—3 263 267 270 279 280 286 290 293 296 398 411 433 448 449
Space-time manifolds 122
Space-time metric 267 286
Space-time picture 444
Spanier, E.H. 159
Sparling, G.A.J. 397 422
Special linear group 36
Special relativity 45 51 241 242
Special unitary groups 37 264
Spectral curve 429
Spectral sequence 2 218—221 223 225 226 228 230 231 233 234- 238 327 330—332 335—337 340 347 348
Spectral sequence mapping 236
Spectral sequences 149 196 197 202 302
Spin bundle 208 209 214 308 311 442 445 482
Spin structure 149 212 213 215 216 235 237 287 308 311 445
Spin-bundle 216
Spin-frame bundle 215
Spin-space 246 259 442 449
Spinc -bundles 215
Spinor algebra 127 308
Spinor bundle 115 125 126 127 262 302
Spinor coordinates 321 482
Spinor differential operators 319
Spinor field 125 127 245 246 260 261 301 302 311 347 349 395 406 434—436 454
Spinor frame 129 130 447
| Spinor index 132 246 287
Spinor representation 338
Spinor Ricci identity 434 441
Spinor sheaves 302 308 311 344
Spinorial forms 308
Spinors 24
Split manifold 480
Splitting construction 383 387
Splitting formula 379 380
Splitting functions 394
Splitting mapping 480
Splitting matrices 402
Spontaneous symmetry breaking 281
Square-norm mapping 210
Stalk 70
Standard complex 220 225 231
Standard coordinates 22 241—243 449
Standard filtration 236 237
Standard metric 122 272 295 449
Standard simplex 152 155
Star-operator 243
Steenrod, N. 90 122 164
Stein manifold 185 342 369 370
Stereographic coordinate 428
Stereographic projection 18 272 273
Sternberg, S. 142 144
Stiefel — Whitney class 199 214
Stokes' theorem 280 282—284
Stora, R. 415
Streater, R.F. 362 367
Strong nuclear forces 263
Structure 89 140 212 218 265 269 274 416
Structure group 51 88
Structure group reduction 121
Structure sheaf 168 193 411 460 473 475 477 478 480 481
SU(2)-connection 204 393 429
SU(2)-gauge potential 421 423
SU(2)-instanton 276 371 398 417
Subbundle 75
Summation convention 129
Super conformal group 482
Super Euclidean space 475 480
Super flag manifold 482
Super Lie algebras 473
Super Minkowski space 460 483
Super null lines 483
Super Poincare group 482
Super twistor manifold 460 473 481
Super twistor space 481 482
Super vector bundles 473
Super Yang — Mills fields 460
Supercommutative rings 474 479
Superconnection 483
Superderivation 483
Supergeometry 468 472 473 479 482
Supergravity theories 472
Supermanifold 460 473 475 476 479—481 483
Supersymmetric field theories 472
Supersymmetric string theories 472
Supersymmetric theories 257 482
Supersymmetric transformations 472
Supersymmetric Yang — Mills equations 484
Supersymmetry transformations 473 482
Support 77 355
Symmetric spinor field 331 341
Symmetric spinor forms 312
Symmetric tensor algebra 120
Symmetric tensor product 75 79 116
Symplectic form 246 249 259 415- 442 444 450 452 455
Symplectic groups 391
Symplectic structure 246
Tangent bundle 12 84 92 102 115 124 138 139 146 198 208 274 308 426
Tangent plane 17 30
Tangent sheaf 483
Tangent space 12 13 15 37 47 49 51 65 73 74 140 142 445
Tangent vector 13 14 29 37 42 72 73 93 125 141 287 435 436 438 440
Tangential Cauchy — Riemann equations 360
Tangential Cauchy — Riemann structure 361
Taubes, C.H. 275 279 281 283 284 426
Taylor series expansion 38 188 339 346 461
Tensor algebra 80 115 119 208 209 308 310 311
Tensor bundles 115 208 209
Tensor field 80 116 118 260 297
Tensor product 18 19 75 79 115
Time-inversion 259
Tod, K.P. 456 458
Topological boundary 55 63
Topological charge 273 274 277 282
Topological invariant 95 96 148 149 150 153 159 162 193 197 198 214 410
Topological pullback 304 325
Topological space 7 148 149 153 154 158 162 167 169 173 175 176 233 473 475 476 478 479
Torsion form 139
Torsion-free connection 286
Torus 9
Total space 70 234 426
Totally real submanifolds 65 114
Totally symmetric spinor field 249 252 406
Totally-null two-planes 429
Totally-null two-surface 434
Transformation group 36 58
Transition function 8 10 18 76 78 83 86—91 111 112 121 122 124 195 235 307 324 361 375 386 404 451 454 459 462 472
Transition matrix 82 123 375 377- 386 387 391 394 399 403 408—409 410
Transition relation 391 452 455
Transitive group action 11 39
Translation 47 258
Trautman, A. 278
Treves, F. 359
Triangulation 52
Trivial bundle 91 197 204 272 308
Trivial line bundle 91 329 397 412
Trivial vector bundle 72 406
Trivializations 75 89
Tube domains 54
Twistor construction 296 297 371 409 423
Twistor correspondence 29 40 303
Twistor description 372 422 434 436 448
Twistor equation 455
Twistor flag manifolds 482
Twistor function 353 424 452 454 456
Twistor geometry 1 2 7 19 21 301 310 360 460
Twistor manifold 19 24 40 41 46 51 171
Twistor Newsletter 448
Twistor program 1 2
Twistor solution 428
Twistor space 2 19 21 29 39 40 51—53 64 130 270 277 279 293 301 350 371 373 378 379 382 391 398 422 423 433 435 436- 444—451 455 456 457 459 481 482
Twistor-geometric space 3 39
Two-component spinor 251 259
Two-component spinor bundles 126
Two-component spinor notation 241
Two-dimensional distribution 435
Two-dimensional surfaces 163
Two-form 244 290 292
Uhlenbeck, K.K. 272 278
Universal bundle 80 87 90 91 308 316 482
Universal line bundle 87 440
Unprimed indices 247 347 453
Unprimed spin-bundle 444
Unprimed spin-space 246 442
Unprimed spinor 442 450
Upper half-plane 55 62 356 358
Vacuum equations 448
Vacuum metrics 286 433
Vacuum solutions 454 456
Vacuum space times 451
Van der Waerden, B.L. 125
Van Moerbeke, P. 432
Variational Principle 241 253
Vector bundle 2 68—71 74 75 78 81—84 87 88 89 90 91 103 110 115 121 136—140 146 167 170 171 174 197 198 208 265 268 272 309 310 313 316 324 325 329 331 340 344 360 371 373 374 376 379 381 382 386 387 388 391 397 398 405 410 412 415 417 443 459 462 464 466 468
Vector bundle epimorphism 75
Vector bundle monomorphism 75
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