%0 Journal Article
%T Paracontact metric structures on the unit tangent sphere bundle
%A Giovanni Calvaruso \and Ver¨®nica Mart¨ªn-Molina
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s10231-014-0424-4
%X Starting from $g$-natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere bundle $T_1 M$ of a Riemannian manifold $(M,\langle,\rangle)$, we construct a family of paracontact metric structures. We prove that this class of paracontact metric structures is invariant under $\mathcal D$-homothetic deformations, and classify paraSasakian and paracontact $(\kappa,\mu)$-spaces inside this class. We also present a way to build paracontact $(\kappa,\mu)$-spaces from corresponding contact metric structures on $T_1 M$.
%U http://arxiv.org/abs/1309.4213v1