Asian Journal of Mathematics
Volume 12 (2008)
Topology of Co-symplectic/Co-Kähler Manifolds
Pages: 527 – 544
Co-symplectic/co-Kähler manifolds are odd dimensional analog of symplectic/Kähler manifolds, defined early by Libermann in 1959/Blair in 1967 respectively. In this paper, we reveal their topology construction via symplectic/Kähler mapping tori. Namely,
Theorem. Co-symplectic manifold = Symplectic mapping torus; Co-Kähler manifold = Kähler mapping torus.
Co-symplectic manifold; symplectic mapping torus; co-Kähler manifold; Kähler mapping torus
2010 Mathematics Subject Classification
Primary 53C15. Secondary 53C55, 53D35, 57R17.
Published 1 January 2008