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 $h$.
Citation
Verónica Martín-Molina. "PARACONTACT METRIC MANIFOLDS WITHOUT A CONTACT METRIC COUNTERPART." Taiwanese J. Math. 19 (1) 175 - 191, 2015. https://doi.org/10.11650/tjm.19.2015.4447
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