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Introduction to Riemannian manifolds

  • 作者: Lee, John M., author.
  • 其他作者:
  • 其他題名:
    • Graduate texts in mathematics ;
  • 出版: Cham : Springer International Publishing :Imprint: Springer
  • 版本:Second edition.
  • 叢書名: Graduate texts in mathematics,176
  • 主題: Riemannian manifolds. , Differential Geometry.
  • ISBN: 9783319917559 (electronic bk.) 、 9783319917542 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: Preface -- 1. What Is Curvature? -- 2. Riemannian Metrics -- 3. Model Riemannian Manifolds -- 4. Connections -- 5. The Levi-Cevita Connection -- 6. Geodesics and Distance -- 7. Curvature -- 8. Riemannian Submanifolds -- 9. The Gauss-Bonnet Theorem -- 10. Jacobi Fields -- 11. Comparison Theory -- 12. Curvature and Topology -- Appendix A: Review of Smooth Manifolds -- Appendix B: Review of Tensors -- Appendix C: Review of Lie Groups -- References -- Notation Index -- Subject Index.
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  • 系統號: 005441908 | 機讀編目格式
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