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.
@article{1116442039,
author = {Itoh, Mitsuhiro and Nakada, Naoko and Satou, Takafumi},
title = {Conformally flat metrics and $S^1$-fibration},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {81},
number = {3},
year = {2005},
pages = { 61-63},
language = {en},
url = {http://dml.mathdoc.fr/item/1116442039}
}
Itoh, Mitsuhiro; Nakada, Naoko; Satou, Takafumi. Conformally flat metrics and $S^1$-fibration. Proc. Japan Acad. Ser. A Math. Sci., Tome 81 (2005) no. 3, pp. 61-63. http://gdmltest.u-ga.fr/item/1116442039/