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Mathematics  2013 

Paracontact metric manifolds without a contact metric counterpart

DOI: 10.11650/tjm.18.2014.4447

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Abstract:

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 $h$.

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