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ALMOST α-COSYMPLECTIC ƒ-MANIFOLDS

Abstract The purpose of this paper is to study a new class of framed manifolds. Such manifolds are called almost α-cosymplectic ƒ-manifolds. For some special cases of α and s, one obtains (almost) α-cosymp(lectic, (almost) C-manifolds, and (almost) Kenmotsu ƒ-manifolds. Moreover, several tensor conditions are studied. We conclude our results with a general example on α-cosymplectic ƒ-manifolds.