A note on 4-dimensional locally conformally flat Walker manifolds |
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| Authors: | S Azimpour M Chaichi M Toomanian |
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| Institution: | (1) University of Tabriz, Iran;(2) University of Payame Noor of Tabriz, Iran;(3) Azad University, Karaj, Iran |
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| Abstract: | A 4-dimensional Walker metric on a semi Riemanian manifold M, for the canonical metric with c = 0, have been investigated by M. Chaichi, E. García—Río and Y. Matsushita. The paper generalizes these notions to the case of constant c ≠ 0. Specially the form of defining functions of this metric in locally conformally flat 4-dimensional Walker manifolds is found. |
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| Keywords: | Indefinite metrics curvature tensor locally conformally flat Walker manifold |
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