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.
@article{1235140172,
author = {Li, Hongjun},
title = {Topology of Co-symplectic/Co-K\"ahler Manifolds},
journal = {Asian J. Math.},
volume = {12},
number = {1},
year = {2008},
pages = { 527-544},
language = {en},
url = {http://dml.mathdoc.fr/item/1235140172}
}
Li, Hongjun. Topology of Co-symplectic/Co-Kähler Manifolds. Asian J. Math., Tome 12 (2008) no. 1, pp. 527-544. http://gdmltest.u-ga.fr/item/1235140172/