Generalızed ((κ)over-tilde ≠ -1, (μ)over-tilde)-paracontact metric manifolds with ξ((μ)over-tilde) = 0

Abstract

We give a local classification of generalized ((kappa) over tilde not equal -1, (mu) over tilde)-paracontact metric manifold (M, (phi) over tilde, xi, eta, (g) over tilde) which satisfies the condition xi((mu) over tilde) = 0. An example of such manifolds is presented.