%0 Journal Article %T Paracontact metric manifolds without a contact metric counterpart %A Ver¨®nica Mart¨ªn-Molina %J Mathematics %D 2013 %I arXiv %R 10.11650/tjm.18.2014.4447 %X We study non-paraSasakian paracontact metric $(\kappa,\mu)$-spaces with $\kappa=-1$ (equivalent to $h^2=0$ but $h\neq0$). 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 $h$. %U http://arxiv.org/abs/1312.6518v3