Open Access
March 2005 Conformally flat metrics and $S^1$-fibration
Mitsuhiro Itoh, Naoko Nakada, Takafumi Satou
Proc. Japan Acad. Ser. A Math. Sci. 81(3): 61-63 (March 2005). DOI: 10.3792/pjaa.81.61


Characterization of conformally flat bundle metric on $S^1$-principal bundle is studied. It is shown further that there are infinitely many compact conformally flat $S^1$-principal bundles which are new examples, besides the Hopf fibration.


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Mitsuhiro Itoh. Naoko Nakada. Takafumi Satou. "Conformally flat metrics and $S^1$-fibration." Proc. Japan Acad. Ser. A Math. Sci. 81 (3) 61 - 63, March 2005.


Published: March 2005
First available in Project Euclid: 18 May 2005

zbMATH: 1114.53020
MathSciNet: MR2128934
Digital Object Identifier: 10.3792/pjaa.81.61

Primary: 53A30

Keywords: $S^1$-bundle , Conformally flat bundle metric , Yang-Mills connection

Rights: Copyright © 2005 The Japan Academy

Vol.81 • No. 3 • March 2005
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