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Lectures on Kahler Geometry.
~
Moroianu, Andrei.
Lectures on Kahler Geometry.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Lectures on Kahler Geometry./
作者:
Moroianu, Andrei.
出版者:
Leiden :Cambridge University Press, : 2007.,
面頁冊數:
183 p.
叢書名:
London Mathematical Society Student Texts
電子資源:
Click here to view book
ISBN:
9780511618666# (electronic bk.)
Lectures on Kahler Geometry.
Moroianu, Andrei.
Lectures on Kahler Geometry.
[electronic resource]. - Leiden :Cambridge University Press,2007. - 183 p. - London Mathematical Society Student Texts.
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
Graduate text providing a concise and self-contained introduction to Kahler geometry.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511618666# (electronic bk.)Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA649 . / M77 2007
Dewey Class. No.: 516.36
Lectures on Kahler Geometry.
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[electronic resource].
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Cambridge University Press,
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183 p.
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London Mathematical Society Student Texts
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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
505
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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
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Graduate text providing a concise and self-contained introduction to Kahler geometry.
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Electronic reproduction.
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Available via World Wide Web.
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Mode of access: World Wide Web.
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511618666#
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