Extremal Sasakian Geometry on $T^2\times S^3$ and Related Manifolds

Abstract

We prove the existence of extremal Sasakian structures occurring on a countably infinite number of distinct contact structures on $T^2\times S^3$ and certain related manifolds. These structures occur in bouquets and exhaust the Sasaki cones in all except one case in which there are no extremal metrics.

35 pages, clarifications made and typos corrected in revised version, further corrections made, slight change in title, to appear in Compositio Mathematica

References in corpus (2)

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

Cited by in corpus (1)

• On the Equivalence Problem for Toric Contact Structures on S^3-bundles over S^2$