Asian Journal of Mathematics

Topology of Co-symplectic/Co-Kähler Manifolds

Hongjun Li

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Abstract

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 information

Source
Asian J. Math., Volume 12, Number 4 (2008), 527-544.

Dates
First available in Project Euclid: 20 February 2009

Permanent link to this document
https://projecteuclid.org/euclid.ajm/1235140172

Mathematical Reviews number (MathSciNet)
MR2481690

Zentralblatt MATH identifier
1170.53014

Subjects
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

Keywords
Co-symplectic manifold symplectic mapping torus co-Kähler manifold Kähler mapping torus

Citation

Li, Hongjun. Topology of Co-symplectic/Co-Kähler Manifolds. Asian J. Math. 12 (2008), no. 4, 527--544. https://projecteuclid.org/euclid.ajm/1235140172


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