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Choquet-Bruhat Y., Dewitt-Morette C. — Analysis, manifolds and physics
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Название: Analysis, manifolds and physicsАвторы: Choquet-Bruhat Y., Dewitt-Morette C. Аннотация: This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 2Год издания: 1982Количество страниц: 630Добавлена в каталог: 12.01.2014Операции: Положить на полку |
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SUM 444 Support 13 Support of a convolution 465 Support of a distribution 441 Supremum 5 Surface dipole potential 499 Surface potential 499 Surjective 3 Symbol 397 Symbol bundle 400 Symmetric difference 2 Symplectic form 268 282 552 Symplectic morphism 268 Symplectic structure 267 Symplectic transformation 554 system 1 System of convolution equation 470 Tangent bundle 128 Tangent components 118 Tangent fibre bundle 545 Tangent to zero 73 Tangent vector 117 118 120 121 544 Tangent vector space 118 121 544 545 Taylor expansion 81 82 160 181 Taylor expansion of the action 100 Taylor formula 82 Tempered distribution 476 Tensor 546 Tensor algebra 140 Tensor bundle 143 Tensor distribution 482 Tensor field 143 Tensor product 139 140 Tensorial form 373 Test functions 423 Tetrad 134 Time-dependent hamiltonians 283 Time-orientable 288 Timelike 288 517 Todd class 401 Topological dual 22 Topological group 21 Topological inclusion 20 Topological invariant 18 Topological manifold 111 Topological vector space 21 topology 11 Topology, associated 20 Topology, coarser 12 Topology, discrete 12 Topology, finer 12 Topology, hull 18 Topology, inductive 18 Topology, inductive limit 427 Topology, metric, metrizable 23 426 Topology, product 20 68 Topology, projective 18 Topology, relative 20 Topology, seminorm 423 Topology, strong 29 69 Topology, trivial 12 Topology, usual 11 20 Topology, weak 29 69 Topology, weak star 453 Torsion form 306 376 Torsion tensor 306 Torsion, almost complex structure 331 Torus 8 117 Total variation 49 Trace 430 487 Trace theorem 506 Trajectory 144 274 Transformation of a distribution under a diffeomorphism 457 Transition function 126 Transitively 153 Transport 358 Transposed operator 60 Triangle inequality (subadditivity) 26 Triangulable 219 Trivial 12 Trivial bundle 125 131 385 Trivialization 363 Truncating sequences 434 Tychonoff theorem 21 Type of a form 373 Type of a tensor 139 Typical fibre 125 U(n) 173 Ultrafilter 14 Uniform boundedness theorem 63 Uniform norm 29 union 2 Uniqueness theorem 381 499 515 524 Universal covering space 19 Upper bound 5 Usual topology on R, Rn 12 20 Van Vleck matrix 100 Variance 581 Variation 321 Vector bundle 125 Vector field 132 Vector fields, f-related 135 Vector space 9 Vector valued differential form 210 Vertical 359 Vertical automorphism 405 Vierbein 134 Void set 1 Volterra convolution 471 Volume element 294 Wave equation 511 Weak metric 555 Weak star topology 453 Weak symplectic form 552 Weak topology 29 Wedge product 551 Weil homomorphism 392 Weyl tensor 351 Wiener integral 573 585 595 Winding number 410 Wormhole 271 Yang — Mills field equation 404 Yang — Mills instanton 410 Yang — Mills Lagrangian 403 Yang — Mills pseudoparticles 414 Yang — Mills-field 403 Zermelo's axiom of choice 6 Zorn's lemma 6
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