Using the hard Lefschetz theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions 5 and 7, respectively
Examples of compact K-contact manifolds with no Sasakian metric
CAPPELLETTI MONTANO, BENIAMINO;
2014-01-01
Abstract
Using the hard Lefschetz theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions 5 and 7, respectively
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Examples K-contact IJGMMP 11 (2014), 1460028.pdf
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