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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011 Volume 153, Book 3, Pages 264–271 (Mi uzku1074)

Differential geometry of Walker manifolds

A. A. Salimov, M. Iscan, S. Turanli

Department of Mathematics, Faculty of Sciences, Atatürk University, Erzurum, Turkey

Abstract: 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.

UDC: 519.63

Received: 27.10.2010

Language: English



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