Mathematical Research Letters

Volume 18 (2011)

Number 1

Extremal Sasakian Metrics on ${\bf S^3}$-bundles over ${\bf S^2}$

Pages: 181 – 189

DOI: http://dx.doi.org/10.4310/MRL.2011.v18.n1.a14

Author

Charles P. Boyer (University of New Mexico, Albuquerque, NM 87131)

Abstract

In this note I prove the existence of extremal Sasakian metrics on $S^3$-bundles over $S^2.$ These occur in a collection of open cones that I call a bouquet.

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