TOPOLOGY OF CO-SYMPLECTIC/CO-KAHLER MANIFOLDS

摘要

Co-symplectic/co-Kahler manifolds are odd dimensional analog of symplectic/Kahler manifolds, defined early by Libermann in 1959/Blair in 1967 respectively. In this paper, we reveal their topology construction via symplectic/Kahler mapping tori. Namely, Theorem. Co-symplectic manifold = Symplectic mapping torus; Co-Kahler manifold = Kahler mapping torus.