Téléchargez le livre : Handbook of Normal Frames and Coordinates

Handbook of Normal Frames and Coordinates

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Éditeur :

Birkhäuser


Collection :

Progress in Mathematical Physics

Paru le : 2006-11-10

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Description
The main subject of this book is an up-to-date and in-depth survey of the theory of normal frames and coordinates in di?erential geometry. The existing results, as well as new ones obtained lately by the author, on the theme are presented. The text is so organized that it can serve equally well as a reference manual, introduction to and review of the current research on the topic. Correspondingly, the possible audience ranges from graduate and post-graduate students to sci- tists working in di?erential geometry and theoretical/mathematical physics. This is re?ected in the bibliography which consists mainly of standard (text)books and journal articles. The present monograph is the ?rst attempt for collecting the known facts concerting normal frames and coordinates into a single publication. For that r- son, the considerations and most of the proofs are given in details. Conventionally local coordinates or frames, which can be holonomic or not, are called normal if in them the coe?cients of a linear connection vanish on some subset, usually a submanifold, of a di?erentiable manifold. Until recently the ex- tence of normal frames was known (proved) only for symmetric linear connections on submanifolds of a manifold. Now the problems concerning normal frames for derivationsof thetensor algebraovera di?erentiablemanifoldarewellinvestigate; in particular they completely cover the exploration of normal frames for arbitrary linear connections on a manifold. These rigorous results are important in conn- tion with some physical applications.
Pages
444 pages
Collection
Progress in Mathematical Physics
Parution
2006-11-10
Marque
Birkhäuser
EAN papier
9783764376185
EAN PDF
9783764376192
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
44
Taille du fichier
3881 Ko
Prix
52,74 €

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