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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Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain
Marino-Villar, Rodrigo
Elena Vazquez-Abal, M.
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Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain
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Univ Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain
Brozos-Vazquez, Miguel
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Garcia-Rio, Eduardo
Vazquez-Lorenzo, Ramon
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Univ Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain