Abstract.
We characterize almost contact metric manifolds which are CR-integrable almost Kenmotsu, through the existence of a suitable linear connection. We classify almost Kenmotsu manifolds satisfying a certain nullity condition, we give examples and completely describe the three dimensional case.
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Dileo, G., Pastore, A.M. Almost Kenmotsu Manifolds and Nullity Distributions. J. Geom. 93, 46–61 (2009). https://doi.org/10.1007/s00022-009-1974-2
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DOI: https://doi.org/10.1007/s00022-009-1974-2