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                    | Ward R.S., Wells R.O. — Twistor geometry and field theory |  
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                    | Предметный указатель |  
                    | | Killing, W.K.J.      37 Klein correspondence      7 360 376
 Klein quadric      26 28 29 51 56
 Klein — Gordon equation      242 254
 Klein — Gordon field      255 256 258
 Klein — Gordon Lagrangian      256
 Klein, F.      1 7 18 27
 Ko, M.      294
 Kobayashi, S.      142 144
 Kodaira vanishing theorem      192
 Kodaira, K.      185 185 438 444 452
 Komatsu, H.      359 368
 Konstant, B.      460 473
 Krantz, S.G.      342
 Kronecker delta function      242
 Kronheimer, P.      457
 Kuiper, N.      258 260
 Kunneth formula      161 162 165 236
 Lagrangian      69 253 255 256 258 265—267 271 280 468
 Laplace equation      277 296 428
 Laplacian      283 446
 Laurent expansion      87 190 317 384
 Laurent series      91 191—193 315 316 400
 Laurent series coefficients      91 322 408
 Law, P.R.      448
 Lawson, B.      209 274 275
 Lebesgue measure      97
 LeBrun, C.      433
 Lee, C.      276
 Left-handed fields      250 338
 Left-handed Maxwell field      347
 Leibniz' formula      161
 Leiterer, J.      397
 Leites, D.A.      460 473
 Lens space      297
 Leray cover      179 182 189 191
 Leray direct image theorem      366
 Leray spectral sequence      162 332 233 335 345 346 348
 Leray theorem      190
 Leray, J.      2 166
 Lerner, D.E.      454
 Levi-Cevita connection      145 146 249 286 443
 Leznov, A.N.      284
 Li, L.F.      285
 Lie algebra      37 38 73 89 136 137 140 264 266 267 276 277 281 421
 Lie algebra structure      85 142
 Lie algebra-valued fields      483
 Lie algebra-valued forms      142
 Lie bracket      94 142 434 441
 Lie derivative      353 436
 Lie group      36 37 39 41 47 63 66 67 84 89 90 139 189 206 208 211 213 258—260 264
 Lie, S.      36
 Light cone      47 48 49 50—52
 Light rays      48
 Line bundle      72 74 86 90 198 205 279 309 316 371 383 386 398 399 404 422 441
 Linear differential operator      303
 Linear field equation      242 418
 Linear field theories      2 3 21 241
 Linear Penrose transform      325 377
 Linearly independent vector fields      15 198
 Liouville's theorem      377 380 395
 Local coordinates      8 14 22 78 82 85 105 143 305 306 320 322 339 428 453 478 482
 Local model      477—479
 Local representation      87 91 105 136
 Local rings      475 411
 Local trivialization      76 75 77 78
 Local twistor transport      438
 Local twistors      441
 Locally constant section      304
 Locally constant sheaves      182
 Locally free C-modules      184 191
 Locally free sheaf      174 342 382 465 466 483
 Long exact cohomology sequence      196 355
 Long Exact Sequence      161 195—197 213 317 318 345 383
 Loop space      164
 Lorentz group      47 60 67 287 473
 Lorentz metric      215
 Lorentz transformation      259 261 262 472
 Lorentz, H.A.      45
 Lorentzian manifold      122 212 218 473
 Lorentzian signature      244 271 293 371
 Lower half plane      55 62 356 358
 MacCallum, M.A.H.      258 260 261 290 302 349 353 433 438
 MacKichan, B.      363
 Madore, J.      415
 Magnetic charge      279 280 282 422
 Magnetic charge density      280
 Magnetic currents      279
 Magnetic field      244 279 282 422
 Magnetic monopoles      164
 Magnetic pole      280 285 371 372 398 422 426 429
 Magnetic pole solutions      279 409 429
 Man ton, N.S.      423
 Manifold      38
 Manifold structure      39 75
 Manin, Yu. I.      415 417 459 460 467 468 469 473 480 481 483 484
 Martin, W.T.      54 55
 Massless field      233 241 244 245 250 257 261 289 301 338 340 348 349 351 353 371 383 393- 404 418 434 446 447
 Massless field equation      301—303 325 334 340 354 360 361 362 371 448
 Massless free field      261 301 393 405 407 434 454
 Massless free-field equations      292 293 351 397 454
 Massless particles      47
 Massless scalar field      242 421
 Matrix group      40
 Maximal ideal      475 478
 Maxwell case      422
 Maxwell equations      1 47 241 244 257 289
 Maxwell field      250 254—257 265 279 404
 Maxwell field strength      468
 Maxwell Lagrangian      254 256
 Maxwell potential      468
 Maxwell spinor field      252
 Maxwell theory      263—265 279 282
 Maxwell — Dirac equations      256
 Maxwell — Dirac field      255
 Maxwell — Dirac Lagrangian      256
 Maxwell — Dirac theory      263
 McCarthy, P.J.      422
 Metric      115 286 457
 Metric rescalings      291
 Metric tensor      287
 Meyers, C.      422
 Michelson, M.L.      209
 Microlocal analysis      367
 Miller, F.R.      454
 Milnor, J.W.      213 235
 Min-Oo      275
 Minitwistor space      426 428 458
 Minkowski conformal groups      52
 Minkowski geometry      67
 Minkowski inner product      46 47 66
 Minkowski metric      61 271 449 450
 Minkowski norm      47
 Minkowski space      3 21 45—49 125 208 354 370 382 460 464 466 472 473 484
 Minkowski space-time      258 260 264 267 269 270 288 353 387
 Minkowski, H.      45
 Mittag-Leffler, G.      166 188 189
 Mitter, P.K.      275
 Mixed spinor-tensor      247
 Moduli space      410 414
 Moebius transformation      51 52 59 62
 Momentum space      1
 Monad      415
 Monad method      372 421 422 430
 Monopole number      282 283
 Monopole solution      282
 Morphism      69 475
 Morrow, J.      185 452
 Multi-Taub-NUT metrics      296
 Murray. M.K.      430
 
 | Nahm equations      431 432 Nahm's construction      431 432
 Nahm, W.      430
 Negative flags      42 43
 Negative frequency massless fields      367
 Negative helicity      338—340 342 352
 Negative helicity field      347
 Negative helicity massless field equations      347
 Negative helicity massless fields      352
 Neutrino equation      450
 Newlander — Nirenberg theorem      389
 Newlander, A.      114
 Nilpotent elements      162 411 460 476 479
 Nirenberg, L.      114
 Nohl, C.      276 278
 Nomizu, K.      142 144
 Non-Kaehler manifolds      449
 Non-self-dual problems      459
 Nonabelian gauge group      264
 Nonabelian gauge theory      279
 Nonabelian n-monopole field      282
 Nonlinear graviton construction      434
 Nonlinear plane wave      472
 Nonnegative helicity      362
 Nonsingular quadric surface      28
 Nontrivial line bundles      195
 Nonvacuum space      451
 Nonvanishing n-form      386 387
 Normal bundle      339 340 349 436 438 441 457 461 464
 Nuclear forces      285
 Null cone      30 47 51 259 260 353 367
 Null cone structure      56 58 260
 Null direction      377 379 387 470 472
 Null lines      31 32 34 56 460 483
 Null Maxwell spinor field      252
 Null plane      32 34
 Null vectors      44 377 453
 Numerical indexed quantity      121 129
 Numerical indices      121 128 129 132
 O'Raifeartaigh, L.      430
 Oiftbfd product      209
 Oka, K.      193 194
 Okonek, C.      402
 Olive, D.      279 284
 One-instanton solution      278
 One-point compactification      10 272
 Orbit      42
 Ordinary differential equation      377 429
 Orthogonal groups      208 236 237 391
 Orthonormal frame      122 129 208
 Orthonormal frame bundle      165 212
 Osborn, H.      418
 Panagopoulos, H.      431
 Paracompact Hausdorff space      176 179 183
 Parallel field      374
 Parallel transport      144
 Parity change      474 482
 Partial differential equations      166 283 342 354 371
 Particle Physics      473
 Partition of unity      98 122 146 183 184 186 329 480
 Path-ordered exponential integral      376
 Pauli matrices      89 267 276 284 405 421
 Penrose transform      3 171 233 301- 305 325 331 338 346—349 352 354 360 362 364 366 469 370 382 383 386 398 444 459 460 464 466 468 473 483
 Penrose, R.      115 118 121 125 241 246 250 257 258 260 261 286- 294 302 310 311 321 343 347—350 353 366 393 422 433 434 438 441 448 470 472
 Perry, M.J.      295
 Perturbation analysis      270 271
 Phase invariance      263
 Physical fields      245
 Planck's constant      242
 Plucker embedding      26 27 29 32 56 460
 Plucker, J.      1 7
 Poincare group      47 258 259 261 271
 Poincare Invariance      241 258 267
 Poincare lemma      108 170 171
 Poincare transformations      260—262
 Poincare, H.      45 98 150 153 260
 Polarization      200
 Polking, J.      361 363
 Polyakov, A.M.      283
 Polyhedral surface      148
 Pontrjagin classes      199
 Pool, R.      463 466 468 470
 Pope, C.N.      295
 Positive flag      42
 Positive frequency massless fields      367
 Positive helicity      338
 Potential      254 347 387
 Prasad — Sommerfield solution      283 284 423 424
 Prasad, M.K.      284 424 431
 Presheaf      67
 Prime ideals      478
 Primed indices      247 406 448 450 453
 Primed spin-bundle      405 443
 Primed spin-space      246 442
 Primed spinor      434 442 445 447
 Principal bundle      68 88 89 90 139 140 208 212 217 265 278
 Projective algebraic manifold      16 185
 Projective line      65 67 338 345 378 460
 Projective linear spaces      17
 Projective primed spin-bundle      444 445
 Projective space      1 3 7 9 10 11 12 18 19 23 65 86 112 163 186 192 196 310
 Projective spinor      445
 Projective twistor space      20 23 24 371 372 438
 Pseudo-Riemannian manifolds      122 145 214 241 259 286
 Pseudoparticle solution      278
 Pullback bundle      208 304
 Pullback mapping      97 328 360
 Pullback sheaf      304 311 313
 Pullback vector bundle      203 324
 Quantum electrodynamics      263 285
 Quantum field theory      1 46 263 270 271 284 285
 Quantum gravity      294
 quantum mechanics      19
 Quantum-mechanical fluctuations      270
 Quaternionic conjugation      210
 Quaternionic structure      65 67
 Quaternionic-Kaehler spaces      449
 Quaternions      419—421
 Quotient bundle      75 340
 Quotient sheaf      172 339
 Quotient stalk      340
 Quotient topology      10
 R-gauge      403 409
 Rajaraman, R.J.      285
 Range, R.      342
 Rational curve      430 436 445
 Rational holomorphic curves      457
 Rational mappings      61
 Rawnsley, J.H.      393 417
 Real cohomology groups      160
 Real compactified Minkowski space      361
 Real conformal weights      309
 Real form      387 389 390 391 392 417
 Real gauge field      409
 Real lines      65 388 416
 Real manifold      208 275 410
 Real Minkowski space      21 301 302 361 362
 Real points      65
 Real projective space      10 162 163
 Real space-time      311
 Real structure      416 428 433 457
 Real submanifold      9 61
 Real tangent bundle      101 102 114
 Real-analytic Dolbeault group      361
 Real-analytic function      355 356 360
 Real-analytic germs      72
 Real-analytic manifold      36 359
 Real-analytic p-forms      360
 Real-analytic solution      354 361 362
 Real-analytic tangential Dolbeault group      362
 
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