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Fat manifolds and linear connections / Alessandro De Paris, Alexandre Vinogradov.
- Format:
- Book
- Author/Creator:
- De Paris, Alessandro.
- Language:
- English
- Subjects (All):
- Differential calculus.
- Commutative algebra.
- Manifolds (Mathematics).
- Algebras, Linear.
- Physical Description:
- 1 online resource (310 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Hackensack, NJ : World Scientific, c2009.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. 281-282) and index.
- ISBN:
- 9786612440946
- 9781282440944
- 1282440942
- 9789812819055
- 9812819053
- OCLC:
- 557658082
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