Turkish Journal of Mathematics
Abstract
$\left(M_{2n},g^w,D\right)$ is a 4-dimensional Walker manifold and this triple is also a pseudo-Riemannian manifold $\left(M_{2n},g^w\right)$ of signature $(++--$) (or neutral), which is admitted a field of null 2-plane. In this paper, we consider bi-Hermitian structures $({\varphi }_1,{\ \varphi }_2)$ on 4-dimensional Walker manifolds. We discuss when these structures are integrable and when the bi-Kahler forms are symplectic.
DOI
10.3906/mat-1902-68
Keywords
Almost complex structures, symplectic structures, almost Hermitian and Kahler structures, pseudobi-Hermitian structures, Walker manifold
First Page
2299
Last Page
2307
Recommended Citation
TURANLI, S (2019). On Walker 4-manifolds with pseudo bi-Hermitian structures. Turkish Journal of Mathematics 43 (5): 2299-2307. https://doi.org/10.3906/mat-1902-68
