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9789810235598

An Introduction to Differential Geometry and Topology in Mathematical Physics

by ;
  • ISBN13:

    9789810235598

  • ISBN10:

    9810235593

  • Format: Hardcover
  • Copyright: 1999-01-01
  • Publisher: WORLD SCIENTIFIC PUB CO INC
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Summary

Presents an outline of the classical results and the most recent developments of differential geometry and topology, especially those important developments which are closely related to the new discoveries in the field of theoretical physics.

Table of Contents

Acknowledgments
Preface
Differential Manifolds
Preliminary Knowledge and Definitionsp. 1
Properties and Operations of Tangent Vectors and Cotangent Vectorsp. 18
Curvature Tensors, Torsion Tensors, Covariant Differentials and Adjoint Exterior Differentialsp. 34
Riemannian Geometryp. 50
Complex Manifoldp. 68
Global Topological Properties
Homotopy Equivalence and Homotopy Groups of Manifoldsp. 84
Homology and de Rham Cohomologyp. 98
Fibre Bundles and their Topological Structuresp. 115
Connections and Curvatures on Fibre Bundlesp. 130
Characteristic Classes of Fibre Bundlesp. 146
Index Theorems and 4-manifolds
Index Theorems for Manifolds without Boundaryp. 162
Essential Features of 4-Manifoldsp. 182
Referencesp. 207
Indexp. 208
Table of Contents provided by Blackwell. All Rights Reserved.

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