某些曲率张量上的半对称几乎C(α)流形

Tuğba Mert, M. Atc̣eken, Pakize Uygun
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引用次数: 2

摘要

本文研究了C(α)流形在一些特殊曲率张量上的半对称性。首先,研究了当所讨论的特殊曲率张量为平面时概C(α)流形的行为。然后,对这些特殊曲率张量,观察了流形在半对称条件下的行为,并对某些特殊曲率张量,得到了半对称几乎C(α)流形为爱因斯坦流形和η-爱因斯坦流形等重要性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Semi-symmetric almost C(α)-manifold on some curvature tensors
In this article, semi-symmetry of almost C(α)-manifold is investigated on some special curvature tensors. First, the behavior of the almost C(α)-manifold is investigated when the special curvature tensors discussed are flat. Then, for these special curvature tensors, the behavior of the manifold in the semi-symmetric condition is observed and for some special curvature tensors, important properties such as the semi-symmetric almost C(α)-manifold being Einstein and η-Einstein manifold are obtained.
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