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We study non-paraSasakian paracontact metric (κ, μ)-spaces with κ = −1 (equivalent to h 2 = 0 but h = 0). These manifolds, which do not have a contact geometry counterpart, will be classified locally in terms of the rank of h. We will also give explicit examples of every possible constant rank of h.doi:10.11650/tjm.1.2015.4447 fatcat:z757s4ryqjegvfseclmjtlcfmy