Geodesic
Differential geometry of Walker manifolds
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 3, pp. 264-271

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In the present paper, we focus our attention on the integrability and holomorphic conditions of a Norden–Walker structure $(M,g^{N+},\varphi)$. We also give a characterization of a Kähler–Norden–Walker metric $g^{N+}$.
Keywords: Norden–Walker structure, Walker manifolds, pure tensor field, Kähler–Norden–Walker metrics, holomorphic tensor field, twin metrics. 
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     title = {Differential geometry of {Walker} manifolds},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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A. A. Salimov; M. Iscan; S. Turanli. Differential geometry of Walker manifolds. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 3, pp. 264-271. http://geodesic.mathdoc.fr/item/UZKU_2011_153_3_a24/