Proceedings of the Japan Academy, Series A, Mathematical Sciences

Conformally flat metrics and $S^1$-fibration

Mitsuhiro Itoh, Naoko Nakada, and Takafumi Satou

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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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Proc. Japan Acad. Ser. A Math. Sci., Volume 81, Number 3 (2005), 61-63.

First available in Project Euclid: 18 May 2005

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Primary: 53A30: Conformal differential geometry

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


Itoh, Mitsuhiro; Nakada, Naoko; Satou, Takafumi. Conformally flat metrics and $S^1$-fibration. Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 3, 61--63. doi:10.3792/pjaa.81.61.

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