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math.DG2020★ 4 cited
Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds
A. Cañas, V. Muñoz, M. Schütt +1
Smale-Barden manifolds are simply-connected closed 5-manifolds. It is an important and difficult question to decide when a Smale-Barden manifold admits a Sasakian or a K-contact st…
math.DG2019
A K-contact simply connected 5-manifold with no semi-regular Sasakian structure
Alejandro Cañas, Vicente Muñoz, Juan Rojo +1
We construct the first example of a 5-dimensional simply connected compact manifold that admits a K-contact structure but does not admit a semi-regular Sasakian structure. For this…