On Walker 4-manifolds with pseudo bi-Hermitian structures

Authors : Sibel TURANLI

Pages : 2299-2307

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :$\leftinsert ignore into journalissuearticles values(M_{2n},g^w,D\right);$ is a 4-dimensional Walker manifold and this triple is also a pseudo-Riemannian manifold $\leftinsert ignore into journalissuearticles values(M_{2n},g^w\right);$ of signature $insert ignore into journalissuearticles values(++--$); insert ignore into journalissuearticles values(or neutral);, which is admitted a field of null 2-plane. In this paper, we consider bi-Hermitian structures $insert ignore into journalissuearticles values({\varphi }_1,{\ \varphi }_2);$ on 4-dimensional Walker manifolds. We discuss when these structures are integrable and when the bi-Kahler forms are symplectic.
Keywords : Almost complex structures, symplectic structures, almost Hermitian and Kahler structures, pseudobi Hermitian structures, Walker manifold