A class of manifolds which admit an f -structure with sdimensional parallelizable kernel is introduced and studied. Such manifolds are called almost Kenmotsu f.pk-manifolds. If s = 1, one obtains almost Kenmotsu manifolds and, if s = 2, they carry a locally conformal almost Kähler structure. Several foliations canonically associated with an almost Kenmotsu… (More)
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