Extremal Sasakian Metrics on S^3-bundles over S^2

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.

9 pages, minor clarifications made, a note and references added

References in corpus (3)

• Canonical Sasakian Metrics
• Uniqueness and examples of compact toric Sasaki-Einstein metrics
• Contact homology of $S^1$-bundles over some symplectically reduced orbifolds

Cited by in corpus (2)

• Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$
• Extremal Sasakian horizons