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Extremal Sasakian geometry on
${T}^{2} \times {S}^{3} $ and related manifolds
- Part of
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- Journal:
- Compositio Mathematica / Volume 149 / Issue 8 / August 2013
- Published online by Cambridge University Press:
- 03 June 2013, pp. 1431-1456
- Print publication:
- August 2013
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- Article
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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 5-manifolds. These structures occur in bouquets and exhaust the Sasaki cones in all except one case in which there are no extremal metrics.
