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Fat manifolds and linear connections [[electronic resource] /] / Alessandro De Paris, Alexandre Vinogradov



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Autore: De Paris Alessandro Visualizza persona
Titolo: Fat manifolds and linear connections [[electronic resource] /] / Alessandro De Paris, Alexandre Vinogradov Visualizza cluster
Pubblicazione: Hackensack, NJ, : World Scientific, c2009
Descrizione fisica: 1 online resource (310 p.)
Disciplina: 515/.33
516.35
Soggetto topico: Differential calculus
Commutative algebra
Manifolds (Mathematics)
Algebras, Linear
Soggetto genere / forma: Electronic books.
Altri autori: VinogradovA. M (Aleksandr Mikhaĭlovich)  
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (p. 281-282) and index.
Nota di contenuto: Preface; Foreword; Contents; 0. Elements of Differential Calculus over Commutative Algebras; 1. Basic Differential Calculus on Fat Manifolds; 2. Linear Connections; 3. Covariant Differential; 4. Cohomological Aspects of Linear Connections; Bibliography; List of Symbols; Index
Sommario/riassunto: In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear and transparent manner the intrinsic structure of the associated differential calculus. The notion of a "fat manifold" introduced here then allows the reader to build a well-working analogy of this "connection calculus" with the usual one.
Titolo autorizzato: Fat manifolds and linear connections  Visualizza cluster
ISBN: 1-282-44094-2
9786612440946
981-281-905-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910456900103321
Lo trovi qui: Univ. Federico II
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