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Lectures on Kahler Geometry. [electronic resource]

  • 作者: Moroianu, Andrei.
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  • 出版: Leiden : Cambridge University Press
  • 叢書名: London Mathematical Society student texts
  • 主題: Electronic books.
  • ISBN: 9780511274107 (electronic bk.) 、 9780521868914 (print)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: Contents; Introduction; CHAPTER 1 Smooth manifolds; CHAPTER 2 Tensor fields on smooth manifolds; CHAPTER 3 The exterior derivative; CHAPTER 4 Principal and vector bundles; CHAPTER 5 Connections; CHAPTER 6 Riemannian manifolds; CHAPTER 7 Complex structures and holomorphic maps; CHAPTER 8 Holomorphic forms and vector fields; CHAPTER 9 Complex and holomorphic vector bundles; CHAPTER 10 Hermitian bundles; CHAPTER 11 Hermitian and Kahler metrics; CHAPTER 12 The curvature tensor of Kahler manifolds; CHAPTER 13 Examples of Kahler metrics CHAPTER 14 Natural operators on Riemannian and Kahler manifoldsCHAPTER 15 Hodge and Dolbeault theories; CHAPTER 16 Chern classes; CHAPTER 17 The Ricci form of Kahler manifolds; CHAPTER 18 The Calabi–Yau theorem; CHAPTER 19 Kahler–Einstein metrics; CHAPTER 20 Weitzenbock techniques; CHAPTER 21 The Hirzebruch–Riemann–Roch formula; CHAPTER 22 Further vanishing results; CHAPTER 23 Ricci-flat Kahler metrics; CHAPTER 24 Explicit examples of Calabi–Yau manifolds; Bibliography; Index
  • 摘要註: Graduate text providing a concise and self-contained introduction to Kahler geometry.
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  • 系統號: 005038233 | 機讀編目格式
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