NOTES ON PARA-NORDEN-WALKER 4-MANIFOLDS ∗
NOTES ON PARA-NORDEN-WALKER 4-MANIFOLDS ∗
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PARA-NORDEN-WALKER 4 歧管注意事项 *
DOI：
10.1142/s021988781000483x
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发表时间：
2010
影响因子：
1.8
通讯作者：
Kursat Akbulut
中科院分区：
文献类型：
--
作者：
A. Salimov;M. Işcan;Kursat Akbulut
一个步行者4-流形是一个具有中性特征的伪黎曼流形（M4，g），它允许一个平行零2-平面的场。本文的主要目的是研究四维步行者流形上的几乎仿复结构。我们讨论了这些结构的可积性、仿Kahler（仿全纯）、拟仿Kahler和迷向仿Kahler条件。研究了几乎仿复结构下的仿Norden-步行者度量的曲率性质以及几乎积黎曼流形下的仿Norden-步行者度量的一些性质.此外，我们讨论了这些结构的爱因斯坦条件。
A Walker 4-manifold is a pseudo-Riemannian manifold, (M4, g) of neutral signature, which admits a field of parallel null 2-plane. The main purpose of the present paper is to study almost paracomplex structures on 4-dimensional Walker manifolds. We discuss sequently the problem of integrability, para-Kahler (paraholomorphic), quasi-para-Kahler and isotropic para-Kahler conditions for these structures. The curvature properties for para-Norden–Walker metrics with respect to the almost paracomplex structure and some properties of para-Norden–Walker metrics in context of almost product Riemannian manifolds are also investigated. Also, we discuss the Einstein conditions for these structures.