The paper is a complete study of paracontact metric manifolds for which the Reeb vector
field of the underlying contact structure satisfies a nullity condition (the condition (1.2), for …

We prove that any contact metric (κ, μ)-space (M, φ, ξ, η, g) admits a canonical paracontact
metric structure that is compatible with the contact form η. We study this canonical …

We prove that every contact metric (κ, μ)-space admits a canonical η-Einstein Sasakian or η-
Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those …

This survey is a presentation of the five lectures on Riemannian contact geometry that the
author gave at the conference “RIEMain in Contact”, 18-22 June 2018 in Cagliari, Sardinia …

We study the interplays between paracontact geometry and the theory of bi-Legendrian
manifolds. We interpret the bi-Legendrian connection of a bi-Legendrian manifold M as the …

Invariant submanifolds of contact (κ, μ)-manifolds are studied. Our main result is that any
invariant submanifold of a non-Sasakian contact (κ, μ)-manifold is always totally geodesic …

We study almost bi-paracontact structures on contact manifolds. We prove that if an almost bi-
paracontact structure is defined on a contact manifold šM, hŽ, then under some natural …

We prove that any non-Sasakian contact metric (\kappa,\mu)-space admits a canonical\eta-
Einstein Sasakian or\eta-Einstein paraSasakian metric. An explicit expression for the …

We find necessary and sufficient conditions for the bi-Legendrian connection∇ associated
to a bi-Legendrian structure (ℱ, G) on a contact metric manifold (M, ø, ξ, η, g) being a metric …

On the classification of contact metric ‐spaces via tangent hyperquadric bundles - Loiudice - 2018
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