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On Walker 4-Manifolds with Pseudo Bi-Hermitian Structures

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Date

2019

Authors

Turanli, Sibel

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Publisher

TÜBİTAK Scientific & Technological Research Council Turkey

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Abstract

(M-2n, g(w), D) is a 4-dimensional Walker manifold and this triple is also a pseudo-Riemannian manifold (M-2n, g(w)) of signature (+ + - -) (or neutral), which is admitted a field of null 2-plane. In this paper, we consider bi-Hermitian structures (phi(1), phi(2)) on 4-dimensional Walker manifolds. We discuss when these structures are integrable and when the bi-Kahler forms are symplectic.

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Keywords

Almost Complex Structures, Symplectic Structures, Almost Hermitian and Kähler Structures, Pseudobi-Hermitian Structures, Walker Manifold

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Q2

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Q2

Source

Turkish Journal of Mathematics

Volume

43

Issue

5

Start Page

2299

End Page

2307

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