Choquet-Bruhat Y., Dewitt-Morette C. — Analysis, Manifolds and Physics (vol. 2) :: 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

Choquet-Bruhat Y., Dewitt-Morette C. — Analysis, Manifolds and Physics (vol. 2)

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Analysis, Manifolds and Physics (vol. 2)

Авторы: Choquet-Bruhat Y., Dewitt-Morette C.

Язык:

Рубрика: Математика/Геометрия и топология/Дифференциальная геометрия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 449

Добавлена в каталог: 22.04.2005

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

Предметный указатель

Lagrangian for scalar functions      76
Lagrangian of a nonscalar field      85
Lagrangian of the Yang — Mills field      85
Lapse function      407
Lax equation      224 226
Lax form      224
Lax pair      226
Left ideal      14
Leray indices      255
Leray theory of hyperbolic systems      405 407
Leray weights      255
Lie algebra of observables      196
Lie algebra of Pin(n,m)      37
Lie algebra of SO(n)      116
Lie algebra of Spin(n,m)      37
Lie algebras of linear groups      115
Linear endomorphisms      115
Little group      106
Local Chern — Simons form      345
Local function group      211
Local Lie algebras      194
Local Poisson map      200
Locally finite covering      138
Locally finite simplicial complex      138
Locally Hamiltonian      190
Loop      44
Loop group      357
Lorentz group      96
Lorentzian signature      235
Majorana pinors      27 30
Majorana representation      10
Mass of a metric      262
Massive gauge potential      320
Maximum dimension      192
Minimal coupling      312
Momentum mapping      65 67 69 198 214 217
Morse theorem      329
Multiplication properties of Sobolev spaces      386
Multiplication theorem      431
n-connected group      151
Nambu Goldstone bosons      320
Nerve      138
Noether's theorems      64
Non-linear-scalar field      88
Nonlinear wave equation in curved spacetime      400
Norm on $\gamma(n,m)$       24
Normal neighborhood      107
Normal ordering      369
NULL      238
Obstruction to the construction of spin and pin bundles; Stiefel — Whitney classes      134
Octonions      264
Odd matrix      3
Odd vector      124
Off shell      80
On shell      80
Order (p,q) of a graded matrix      3
Orientation of a simplex      127
Orthochronous proper Lorentz      17
Orthogonal group      17
Parallelizable      264
Parity operator      18 27
Partial derivatives of super differentiable mapping      56
Pauli matrices      8
Perfect group      111
Periodicity modulo 8      11
Pfaffian manifold      218
Phase of representation      352
Pin bundle      137
Pin frame      137
Pin group      17 20 24
Pin structure      137
Pin(n,m)      20
Pinors      137
Poincare group      96 115
Poincare transformation      97
Poincare — Hopf theorem      321 330
Point spectrum      48
Poisson bracket      165 185 188
Poisson manifolds      184 190 200 205
Poisson structure      184 187 206 207
Poisson structure defined by a contravariant tensor      188
Poisson submanifold      201
Poisson submersion      215
Poisson tensor      189
polar      212
Polar function group      215
Product Poisson manifold      205
Projective n-space      109
Projective representation      352 356
Prolongation of SO      136
Prolongation structure      177
Pseudopotentials      176
Pullback of a bundle      336
Quantum BRST operators      368—370
Quasi-linear first-order partial differential equation      171
Quaternions      264
Rank of a Poisson manifold      190
Ray representation      352
Realization of a Poisson manifold      210
Reducible bundles      308
Reductive      227
Reductive homogeneous spaces      271
Reductive pair      103
Representations of Spin(n,m), n+m odd      33
Residual spectrum      48

Ricci tensor      249
Riemann tensor      240
Riemannian manifolds      235
Riemannian symmetric space      104
Sbort exact sequences      163
Scalar curvature      249 292
Scalar curvature of $S^{n}$       241
Scalar multiplet      248 290 311
Schouten — Nijenhuis bracket      189
Schur's lemma      113
Schwinger functions      414
Second derivative in the directions $(\nu_{1},\nu_{2})$       52
Second fundamental form      279
Segment property      378
Self-adjoint      47
Semi-infinite forms      367
Semidirect products      95 96
Semilinear      255
Sheaf      91
Shell      80
Siebenbeins      264
Simple (k-simple)      45
Simple cover      138
simplex      127
Simplex decomposition      321
Sine-Gordon equation      174 177 179 180 183
Singular k-simplex      130
Sobolev embedding theorem      377 379 431
Sobolev inequalities      379
Sobolev inequality on $R^{n}$       389
Sobolev spaces      386
Sobolev spaces on riemannian manifolds      428
Solvable Lie groups      114
Soul      2
Spacelike      238
Spaces $H_{s,\delta}(\mathbb{R}^{n})$       393
Special orthogonal group      17
Spectrum      48
Spectrum of closed and self-adjoint linear operators      47
Sphere $S^{n}$       240
Spin (n,m)      21
Spin frame      135
Spin group      17 21
Spin structure      136 151
Spinor      135
Spinor-cospinor      135
Spontaneously broken symmetry      311
Stability subgroup      106
Standard simplex      129
Stationary metric      72
Stationary subgroup      106
Stereographic coordinates      241
Stiefel manifold      108
Stiefel — Whitney classes      141
Stress-energy tensor      83
String      275
String action      82
Structure constants of a compact Lie group      117
Subbundles      308
Subgroups of Lie groups      92
Submanifolds      92 275
Subrepresentation      111
Superdifferentiable      53
Supersmooth      55
Supertrace      332 333
Symmetric Riemannian manifold      107
Symmetric spaces      103 104
Symplectic leaves      193
Symplectic manifold      185 190 221
Taylor formula      52
Tempered distribution      418
Tension field      277
Tensor product of algebras      5
Timelike      238
Topological charge      315
Torsion tensors on a symmetric space      270
Totally geodesic mapping      282
Trajectory      65
Transitive G-space      104
TRANSPOSE      47
Triangulated manifold      128
Triangulations      128 326
Twisted adjoint representation      22
Tychonoff theorem      39
Uniformly equivalent metrices      428
Unitary representation of the Heisenberg group      166
Universal bundles      335 337
VACUUM      310 369
Van Hove's singularities      328
Vector      124
Vertex      127 138
Virasoro algebra      360
Virasoro representation      363
Weinstein theorem      193
Weyl Heisenberg group      163 164
Weyl representation      167
Weyl spinors      27
Weyl tensor      249 344 345
Whitney product theorem      142 144
Whitney sum product      145
Wightman distributions      414
Yang — Baxter equation      232
Yang — Mills operator      244
Zero cochains      168
Zero simplex      127

1 2

О проекте