Abstract
We give a natural construction of an Einstein metric g on the products S 3 × S 2 and S 7 ×S 6, total spaces of some induced Hopf bundles. Since g is also a Sasakian metric, a locally conformai Kähler and conformally Ricci-flat metric h is induced by g on the products S 3 × S 2 × S 1 and S 7 ×S 6 ×S 1, that fiber also as twistor spaces over the hypercomplex and the Cayley Hopf manifolds S 3 × S 1 and S 7 ×S 1 . An extension of this construction is given to some Stiefel manifolds and induced Hopf bundles over Segre manifolds.
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© 1999 Springer Science+Business Media Dordrecht
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Ornea, L., Piccinni, P. (1999). Induced Hopf Bundles and Einstein Metrics. In: Szenthe, J. (eds) New Developments in Differential Geometry, Budapest 1996. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5276-1_21
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DOI: https://doi.org/10.1007/978-94-011-5276-1_21
Publisher Name: Springer, Dordrecht
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