On Walker 4-manifolds with pseudo bi-Hermitian structures | Zendy

Sibel Turanli | Zendy

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On Walker 4-manifolds with pseudo bi-Hermitian structures

Author(s) -

Sibel Turanli

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1902-68

Subject(s) - mathematics , hermitian matrix , pure mathematics , signature (topology) , symplectic geometry , hermitian manifold , hermitian symmetric space , manifold (fluid mechanics) , riemannian manifold , integrable system , field (mathematics) , mathematical physics , mathematical analysis , geometry , ricci curvature , engineering , curvature , mechanical engineering

(M2n, g, D) is a 4-dimensional Walker manifold and this triple is also a pseudo-Riemannian manifold (M2n, g ) of signature (+ + −−) (or neutral), which is admitted a field of null 2-plane. In this paper, we consider bi-Hermitian structures (φ1, φ2) on 4-dimensional Walker manifolds. We discuss when these structures are integrable and when the bi-Kähler forms are symplectic.

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