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.

arXiv comment9 pages, minor clarifications made, a note and references added

References in corpus (7)

• New Einstein-Sasaki Spaces in Five and Higher Dimensions
• Toric Sasaki-Einstein metrics on S^2 x S^3
• Canonical Sasakian Metrics
• A Note on Toric Contact Geometry
• Uniqueness and examples of compact toric Sasaki-Einstein metrics
• The Sasakian Geometry of the Heisenberg Group
• Contact homology of $S^1$-bundles over some symplectically reduced orbifolds

Cited by in corpus (3)

• Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on $S^2\times S^3$
• On the Equivalence Problem for Toric Contact Structures on S^3-bundles over S^2$
• Extremal Sasakian horizons