Starting from g-natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere bundle T1M of a Riemannian manifold (M,g), we construct a family of paracontact metric structures. We prove that this class of paracontact metric structures is invariant under D-homothetic deformations, and classify paraSasakian and paracontact (κ,μ)-spaces inside this class. We also present a way to build paracontact (κ,μ)-spaces from corresponding contact metric structures on T1M.
Paracontact metric structures on the unit tangent sphere bundle
CALVARUSO, Giovanni;
2015-01-01
Abstract
Starting from g-natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere bundle T1M of a Riemannian manifold (M,g), we construct a family of paracontact metric structures. We prove that this class of paracontact metric structures is invariant under D-homothetic deformations, and classify paraSasakian and paracontact (κ,μ)-spaces inside this class. We also present a way to build paracontact (κ,μ)-spaces from corresponding contact metric structures on T1M.File in questo prodotto:
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