Differential Geometry: Connections, Curvature, and Characteristic Classes

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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern-Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss-Bonnet theorem. Exercises throughout the book test the reader's understanding of ...

Differential Geometry: Connections, Curvature, and Characteristic Classes 2017, Springer

ISBN-13: 9783319550824

2017 edition

Hardcover

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