Extremal Sasakian geometry on and related manifolds

Extremal Sasakian geometry on and related manifolds

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 ex...

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Veröffentlicht in:Compositio mathematica 2013-08, Vol.149 (8), p.1431-1456
Hauptverfasser: Boyer, Charles P., Tønnesen-Friedman, Christina W.
Format: Artikel
Sprache:eng
Schlagworte:
Cones
Contact
Exhaust
Manifolds
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Zusammenfassung: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.
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X13007094