Differential Geometry —— Bundles, Connections, Metrics and Curvature

----- 微分几何：捆绑,连接,度量标准和曲率

ISBN: 9780199605880 出版年：2013 页码：313 Taubes, Clifford Henry Oxford University Press

1. Smooth manifolds 2. Matrices and Lie groups 3. Introduction to vector bundles 4. Algebra of vector bundles 5. Maps and vector bundles 6. Vector bundles with fiber C]n 7. Metrics on vector bundles 8. Geodesics 9. Properties of geodesics 10. Principal bundles 11. Covariant derivatives and connections 12. Covariant derivatives, connections and curvature 13. Flat connections and holonomy 14. Curvature polynomials and characteristic classes 15. Covariant derivatives and metrics 16. The Riemann curvature tensor 17. Complex manifolds 18. Holomorphic submanifolds, holomorphic sections and curvature 19. The Hodge star Indexed list of propositions by subject Index