Differential geometric structures on principal toroidal bundles

Blair, David E.; Ludden, Gerald D.; Yano, Kentaro

doi:10.1090/S0002-9947-1973-0319099-4

Differential geometric structures on principal toroidal bundles
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by David E. Blair, Gerald D. Ludden and Kentaro Yano PDF

Trans. Amer. Math. Soc. 181 (1973), 175-184 Request permission

Abstract:

Under an assumption of regularity a manifold with an $f$-structure satisfying certain conditions analogous to those of a Kähler structure admits a fibration as a principal toroidal bundle ovet a Kähler manifold. In some natural special cases, additional information about the bundle space is obtained. Finally, curvature relations between the bundle space and the base space are studied.

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