Handbook of normal frames and coordinates
This book provides the first comprehensive and complete overview on results and methods concerning normal frames and coordinates in differential geometry, with emphasis on vector and differentiable bundles. The book can be used as a reference manual, for reviewing the existing results and as an intr...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2006. |
| Col·lecció: | Progress in Mathematical Physics
42 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 29 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Handbook of Normal Frames and Coordinates, Texte imprimé, 9783764391355 • Handbook of normal frames and coordinates, Bozhidar Z. Iliev, Basel, Birkhäuser, 2006, 1 vol. (XV-441 p.), Progress in mathematical physics, 3-7643-7618-X |
| LEADER | 04126nam a22004217a 4500 | ||
|---|---|---|---|
| 001 | 938695 | ||
| 008 | 080410q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123140897 | ||
| 020 | |a 9783764376192 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.36 | ||
| 084 | |a 53-XX. 2000 | ||
| 084 | |a 57Rxx. 2000 | ||
| 100 | 1 | |a Iliev, Bozhidar Zakhariev. | |
| 245 | 1 | 0 | |a Handbook of normal frames and coordinates |c Bozhidar Z. Iliev. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematical Physics |v 42 |x 2197-1846 | |
| 500 | |a Description d'après consultation du 29 mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [401]-410. Index | ||
| 505 | 1 | |a Manifolds, Normal Frames and Riemannian Coordinates Existence, Uniqueness and Construction of Normal Frames and Coordinates for Linear Connections Normal Frames and Coordinates for Derivations on Differentiable Manifolds Normal Frames in Vector Bundles Normal Frames for Connections on Differentiable Fibre Bundles | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book provides the first comprehensive and complete overview on results and methods concerning normal frames and coordinates in differential geometry, with emphasis on vector and differentiable bundles. The book can be used as a reference manual, for reviewing the existing results and as an introduction to some new ideas and developments. Virtually all essential results and methods concerning normal frames and coordinates are presented, most of them with full proofs, in some cases using new approaches. All classical results are expanded and generalized in various directions. For example, normal frames and coordinates are defined and investigated for different kinds of derivations, in particular for (possibly linear) connections on manifolds, with or without torsion, in vector bundles and on differentiable bundles; they are explored also for (possibly parallel) transports along paths in vector bundles. Theorems of existence, uniqueness and, possibly, holonomicity of normal frames and coordinates are proved; mostly, the proofs are constructive and some of their parts can be used independently for other tasks. Numerous examples and exercises illustrate the material. Graduate students and researchers alike working in differential geometry or mathematical physics will benefit from this resource of ideas and results which are of particular interest for applications in the theory of gravitation, gauge theory, fibre bundle versions of quantum mechanics, and (Lagrangian) classical and quantum field theories | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Géométrie différentielle globale | ||
| 650 | |a Coordonnées (mathématiques) | ||
| 776 | 0 | |t Handbook of Normal Frames and Coordinates |b Texte imprimé |z 9783764391355 | |
| 776 | 0 | |0 113187033 |t Handbook of normal frames and coordinates |f Bozhidar Z. Iliev |c Basel |n Birkhäuser |d 2006 |p 1 vol. (XV-441 p.) |s Progress in mathematical physics |z 3-7643-7618-X | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-7619-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-76KTMCR2-0 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747896224 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-7643-7619-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750909226 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-7643-7619-2 |z Accès INSA CVL | |
| 997 | |0 938695 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||