Conformal flatness and self-duality of circle bundle metrics サークルバンドル計量の共形平坦性と自己双対性
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Bibliographic Information
- Title
-
Conformal flatness and self-duality of circle bundle metrics
- Other Title
-
サークルバンドル計量の共形平坦性と自己双対性
- Author
-
佐藤, 尊文
- Author(Another name)
-
サトウ, タカフミ
- University
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筑波大学
- Types of degree
-
博士 (数学)
- Grant ID
-
甲第2057号
- Degree year
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1999-03-25
Note and Description
博士論文
1998
【要旨】
Table of Contents
- Contents / p1 (0003.jp2)
- 1 Introduction and Results / p2 (0004.jp2)
- 1.1 Introduction and Results / p2 (0004.jp2)
- 2 Preliminaries / p8 (0010.jp2)
- 2.1 Circle bundle metrics / p8 (0010.jp2)
- 2.2 Weyl conformal curvature tensor / p12 (0014.jp2)
- 2.3 Yang-Mills connections / p16 (0018.jp2)
- 3 Self-duality of Circle Bundle Metrics / p18 (0020.jp2)
- 3.1 Self-duality of circle bundle metrics / p18 (0020.jp2)
- 3.2 Proof of Theorem C / p23 (0025.jp2)
- 3.3 Proof of Theorem D / p27 (0029.jp2)
- 4 Conformal Flatness of Circle Bundle Metrics / p32 (0034.jp2)
- 4.1 Complex structure and curvature tensor of the base space / p32 (0034.jp2)
- 4.2 Proof of Theorem E / p35 (0037.jp2)
- Bibliography / p37 (0039.jp2)
