Elliptic almost paracontact metric hypersurfaces in \(T(V_ n)\) (Q1098428)

Consider Dombrowski's almost complex structure \(J\) and a pseudo-Riemannian metric of zero signature, compatible with \(J\), on the tangent bundle \(T(V_ n)\) of an \(n\)-dimensional Riemannian space \(V_ n\). The author induces elliptic almost contact metric structures on some very special hypersurfaces in \(T(V_ n)\). Next, when \(n=2\) she characterizes, among others, the integrability and the normality of the structures.