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

Published 9 Aug 2011 in math.DG | (1108.2005v3)

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.

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