Asian Journal of Mathematics
- Asian J. Math.
- Volume 12, Number 4 (2008), 527-544.
Topology of Co-symplectic/Co-Kähler Manifolds
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.
Asian J. Math., Volume 12, Number 4 (2008), 527-544.
First available in Project Euclid: 20 February 2009
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
Secondary: 53C55: Hermitian and Kählerian manifolds [See also 32Cxx] 53D35: Global theory of symplectic and contact manifolds [See also 57Rxx] 57R17: Symplectic and contact topology
Li, Hongjun. Topology of Co-symplectic/Co-Kähler Manifolds. Asian J. Math. 12 (2008), no. 4, 527--544. https://projecteuclid.org/euclid.ajm/1235140172