Cosymplectic quasi-Sasakian pseudo-Riemannian manifolds and coisotropic foliations (Q913274)

The authors study \((2m+1)\)-dimensional pseudo-Riemannian manifolds of signature \((m+1,m)\) and endowed with a certain kind of pseudo-Sasakian structures introduced by the second of them [Rend. Mat. Appl., VII Ser. 4, No.3, 393-407 (1984; Zbl 0679.53035)]. Such manifolds can always be foliated by symplectic hypersurfaces which are minimal and para- Kählerian. Some properties of that foliation and also coisotropic foliations of the mentioned manifolds are obtained.