Extremal Sasakian geometry on and related manifolds

Charles P. Boyer, Christina W. Tønnesen-Friedman
2013 Compositio Mathematica  
AbstractWe 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 5-manifolds. These structures occur in bouquets and exhaust the Sasaki cones in all except one case in which there are no extremal metrics.
doi:10.1112/s0010437x13007094 fatcat:tx65pf3zr5hkhodctlbw7c72tq