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Ward R.S., Wells R.O. — Twistor geometry and field theory |
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Предметный указатель |
Dodziuk, J. 275
Dolbeault cohomology classes 192
Dolbeault cohomology groups 113 185 361 362
Dolbeault complex 107 112 171 361
Dolbeault resolution 233 326
Dolbeault's theorem 185 233 322 326 342 363
Domains of holomorphy 193 194
Donaldson, S.K.. 278 322 432
Double fibration 21 23 24 44 302 303 382 460 464 466 481—483
Double-fibration picture 351 372 444 447
Drell, S.D. 253
Drinfeld, V.G. 415 417
Dual bundle 75 91
Dual module 118 119
Dual projective twistor space 24
Dual twistor space 353 448
Dual twistors 353 371
Duality pairing 27 119 120 461
E-valued differential forms 134 146 168 184
Eastwood, M.G. 310 321 343 348 366 393 466 468 470
Edge of the wedge theorem 368
Eguchi, T. 294 295 297
Ehrenpreis, L. 366 367 370
Ehrlich, P.E. 122
Einstein convention 117
Einstein equations 459
Einstein metric 286 295 433
Einstein space 440
Einstein summation convention 53 394
Einstein — Weyl spaces 458
Einstein's vacuum equations 286 448
Einstein, A. 1 45 115 263 286 294 295 457 472
Electric charge 422
electric field 244 279 422
electromagnetic field 242 244 245
Electromagnetic forces 285
Elementary mapping 328
Elementary open set 374 391
Elementary particles 472
Elementary plane 372
Elementary state 353
Elliptic curve construction 414
Elliptic differential equations 113
Elliptic differential operator 227
Elliptic integral 425 430
Ellis, G.F.R. 253 286
Energy 281
Energy functional 281
Energy-momentum tensor 258
Euclidean coordinates 405
Euclidean four-space 46 270 371 423
Euclidean space 7 9 45 148 244 271 387
Euler characteristic 123 148 198 204
Euler homogeneity operator 353
Euler number 37 98
Euler — Lagrange equations 253 254 255 266—268 280
Exact form 94 114
Exact sequence 171 172 206 228
Exponential mapping 38 398
Exponential sequence 194 196
Extension theory 462
Exterior algebra 26 79 161
Exterior derivative 93 94 104 145 165 169 243 287 312
Exterior differentiation 132 134 221 302 310 335
Fairlie, D.B. 276
Ferbcr, A. 481
Fermionic fields 473
Feynman path integral 270
Fiber bundle 2 15 68 90 235 264
Fiber coordinates 102
Fibers 69
Field equation 148 253 257 268 362 263 265 309 347 348 382 451 459 484
Field theory 260 261 286 472
Filtered differential module 234
Fine resolution 328
Fine sheaf 182 183 184 195 197 232 233
Finite action 271 272 277
Finite energy 281 423
Finite-action critical point 274
Finite-action self-dual fields 274
Finite-action Yang — Mills solution 272
Finite-dimensional representation 84 85
First filtration 221 231
Flabby sheaf 355 370
Flag manifold 3 9 19 25 42 160 449 456 457 480
Flat connection 135 204 406
Flat space-time 290 433 434 444 454
Flat twistor space 434 444 448 449 454
Flume, R. 275
Formal extensions 462
Formal neighborhood 459—462 466 476
Formal power series 462 475
Four-current density 243 269 279
Four-dimensional Riemannian manifolds 278 294
Four-sphere 65 295
Fourier transform 1
Frame bundle 212 213 215
Free module 475
Freund, P.G.O. 295
Frobenius' Theorem 35 139 142 434
Frohlicher spectral sequence 238
Frohlicher, A. 228
Fubini — Study metric 147 295 457
Fulton, W. 414
Functional integral 270 271
Fundamental group 64
Fundamental representation 259 264 265 268 421
G-bundle 89 121 139 140 143 144 213 235
Ganoulis, N. 284
Gauge field 264 265 266 267 269 271—273 277 280 292 373 374 378 380 381 386 387 390 394 395 397 424 429 444 459
Gauge freedom 276 347 348 401
Gauge group 264 267 269 272 273 275 276 279 280 282 284 372 373 382 386 387 389 399 410 421 422
Gauge invariance 255 256 263 272 423
Gauge potential 264 266 269 272 292 372 373 375 377 378 381 387 402 404 408 412 413 423 430
Gauge theory 3 263—265 269—271 289 292 372
Gauge transformation 256 265 269 272 277 281 392 404 423
Gauss — Bonnet formula 204
Gauss' theorem 156
General linear group 36
General relativity 47 115 122 263 286
Genus 93 149
Germs 72
Gibbons, G.W. 294 296
Gilkey, P.B. 294 297
Gitler, S. 473
Glimm, J. 253 285
Global section 80 168 175 181 229 230 326 411 465
Goddard, P. 421 279 284 424 426 432
Godement, R. 162 166 176 182 230 232
Googly graviton 448
Graded algebra 474
Graded Lie algebras 473
Graded modules 224
Graded sheaf 228
Grading 225
Grand unified theories 280 285
Grassmann algebra 210 474
Grassmann, H. 1 7
Grassmannian 19 80 87 218 308 481
Grassmannian manifold 3 7 9 10 11 163 480
Grauert, H. 382
Gravitational instantons 293 295
Green's function 353 421 446
Green's theorem 109 156
Green, P. 459 467 480
Greenberg, M.J. 152 159 162—164 236
Griffiths, P.A. 147 166 185 192 193 196 201 202 204 462—464
Grothendieck, A. 166 479
Ground state 281
Guillemin, V.W. 359
| Gunning, R.C. 15 185 382
Guth, A.H. 276
Hamad, J. 473 481 483 484
Hamilton's Principle of Stationary Action 253
Hamiltonian 280
Hamiltonian systems 432
Hanson, R.O. 294 297
Harmonic differential forms 192 227
Harmonic function 277 278 432
Harper, J.R. 152 159 162—164 236
Harris, J. 147 166 185 192 193 196 201 202 204
Hartogs — Riemann Removable Singularity type theorem 368
Hartogs' phenomenon 193
Hartshorne, R. 166 176 410—413 479
Harvey, R. 209 212
HausdorfT manifold 435
Hawking, S.W. 253 286 294—296
Helgason, S. 36 37 39
Helicity 331 338
Henkin, G.M. 459 467—469
Hermitian form 19 39 42 43 64 130 268 416
Hermitian manifold 46
Hermitian metric 144 309
Hermitian operator 251
Hermitian structure 390
Higgs field 267 426
Higgs potential 280
Higher homotopy groups 164
Higher-dimensional space-times 397
Higher-dimensional twistor spaces 397
Hilbert space 19 263
Hilbert, D. 354 368
Hill, C.D. 363
Hirzebruch, F. 85 86 166 176 179 214
Hitchin, N.J. 275—278 297 309 389—391 393 395 397 413 415 425—431 442 445 446 449 457 458
Hodge decomposition 192 193 227 228
Hodge numbers 228
Hodge star-operator 243 273 292
Hodge theory 185 192 228
Holomorphic bundles 397 422
Holomorphic connection 293
Holomorphic coordinates 101 359
Holomorphic curve 429 438 442- 446 451 452 454 455 457
Holomorphic extension 358 463
Holomorphic function 8 15 79 85 108 109 158 168 174 175 183 184 189 293 306 340 345 349 355 356 358 359 368 372 383 384 387 394 399 435 454 455 461 476 477 479 480
Holomorphic line-bundle 85 86 195 196 382 383 429 441
Holomorphic mapping 8 10 18 44 476 477
Holomorphic metric 293
Holomorphic p-forms 108 109 168 171 184 351 441
Holomorphic rational curves 436 441
Holomorphic right-handed massless fields 331
Holomorphic section 79 87 304 374 377 379 386 390 427 428 438 439 446
Holomorphic structure 381 388 429
Holomorphic super vector bundle 484
Holomorphic tangent bundle 100 101 114 426 427 442
Holomorphic vector bundle 71 72 79 81 101 112 168 171 184 185 233 303 304 307 316 325 326 330 342 361 362 37' 372 374 375 377 382 386 389 390 394 398 410 423 428 459 460 462—464 466 480 483
Holomorphic vector field 100 426 427
Holomorphic Yang — Mills bundle 464- 467 469
Homogeneous coordinates 12 22 23 26 28—31 53 58 130 147 351 373 375 410 415 438 457 461
Homogeneous differential form 93 147
Homogeneous space 36 38 39 41 45 84 163
Homogeneous vector bundles 84 85
Homology class 192 159
Homology groups 150 151 153 156 157 159 161—163 165
Homology invariants 148
Homology theory 176
Homotopic curves 158
Homotopy equivalence 150 159 164
Homotopy groups 150 153 163 164 165
Homotopy invariants 148
Hopf bundle 278
Horizontal subspaces 143 144 389 445
Horizontal vectors 141 142
Hormander, L. 114 185 189 194 342 359 389
Horrocks, G. 372 415
Horvath, Z. 431
Huang, K. 285
Hughston, L.P. 397
Hulek, K. 415 417
Hurtubise, J. 422 432 473 481 483 484
Hydrogen atom 263
Hyper-Kaehler spaces 449
Hyperbolic differential equations 2 149 166 257 354
Hyperfunction data 362 363 366 369
Hyperfunction differential forms 359
Hyperfunction Dolbeault groups 361
Hyperfunction massless field 367
Hyperfunction Penrose transform 364
Hyperfunction solutions 301 302 354 360—362
Hyperfunction tangential Dolbeault groups 362
Hyperfunction-valued forms 360
Hyperfunctions 354 356
Hyperplane section 30 162
Hyperplane section bundle 86 125 184 191 192 195 196 203 303 304 308 310 325 341 349 403 411 436
Hyperplane section sheaf 302 316
Hypersurface twistors 433
Ideal sheaf 339 343 461 463 479
Induced connection 136 137
Inductive limit 173 174 178 219 223 238
Infinite series 358 370
Infinite-dimensional cohomology 191
Infinitesimal neighborhood 339 463 464
Inhomogeneous Cauchy — Riemann equation 187
Inhomogeneous Maxwell equations 467
Inhomogeneous Yang — Mills equations 467
Instanton bundle 410 411 413 415
Instanton connection 410 420
Instanton field 275
Instanton number 273
Instanton solutions 372
instantons 273
Integrability conditions of Frobenius 143
Integrable almost-complex structure 114 389
Integrable distribution 444
Integral cohomology 162 176
Integral cohomology group 160 199
Integral de Rham class 200
Integral formula 21 302 349 354 368
Integral geometry 3
Integral homology 162
Integral surface 444 447
Integral-geometric transform 3 149 302
Interior product 27
Invariant polynomial 199 200 201
Inverse correspondence 20 21 303
Inverse Penrose transform 470 471
inversion 60 260
Isenberg, J. 459 467
Isotropic flags 42 43
Isotropic submanifolds 482
Isotropy group 39
Jackiw, R. 276 278
Jacobian 430 432
Jacobian matrix 15 344
Jaffe, A. 253 275 279 281 285
Jones, P.E. 458
Jumping lines 413
K3 metrics 295
K3 space 295
Kac — Moody algebras 473
Kac, V.G. 473
Kahler manifold 146 147 185 192 227 228 295
Kahler potential 114
Kahler structure 449
Kashiwara, M. 367
Kawai, T. 367
Killing form 265 266 268
Killing spinor equation 455
Killing spinor field 456
Killing vector 448 456
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