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A Smale-Barden manifold admitting K-contact but not Sasakian structure

Published 11 Nov 2020 in math.DG, math.AG, and math.SG | (2011.05783v2)

Abstract: We give the first example of a simply connected compact 5-manifold (Smale-Barden manifold) which admits a K-contact structure but does not admit any Sasakian structure, settling a long standing question of Boyer and Galicki.

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