02803nam 2200649Ia 450 991078091870332120230721005545.01-282-44094-29786612440946981-281-905-3(CKB)2550000000001847(EBL)477134(OCoLC)557658082(SSID)ssj0000337615(PQKBManifestationID)11929326(PQKBTitleCode)TC0000337615(PQKBWorkID)10293166(PQKB)10563801(MiAaPQ)EBC477134(WSP)00000854 (Au-PeEL)EBL477134(CaPaEBR)ebr10361799(CaONFJC)MIL244094(EXLCZ)99255000000000184720080910d2009 uy 0engur|n|---|||||txtccrFat manifolds and linear connections[electronic resource] /Alessandro De Paris, Alexandre VinogradovHackensack, NJ World Scientificc20091 online resource (310 p.)Description based upon print version of record.981-281-904-5 Includes bibliographical references (p. 281-282) and index.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; IndexIn 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.Differential calculusCommutative algebraManifolds (Mathematics)Algebras, LinearDifferential calculus.Commutative algebra.Manifolds (Mathematics)Algebras, Linear.515/.33516.35De Paris Alessandro1519003Vinogradov A. M(Aleksandr Mikhaĭlovich)1519004MiAaPQMiAaPQMiAaPQBOOK9910780918703321Fat manifolds and linear connections3756868UNINA