Abstract
There only existS 2n+1, S2n×S1, Tn+1×Sn as closed connected differentiable manifolds with contact forms which admit respectively the expressions of the cannonical contact forms ofS 2n+1, S2n×S1, Tn+1×Sn in terms of global functions.
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Contreras, L., Gonzalo, J. & Varela, F. Characterization of S2n+1, S2n×S1, Tn+1×Sn by the global expressions of their cannonical contact structures. Rend. Circ. Mat. Palermo 33, 117–121 (1984). https://doi.org/10.1007/BF02844416
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DOI: https://doi.org/10.1007/BF02844416