关于伪对称正态旁接触度量流形的一些结果

M. Atc̣eken, Tuğba Mert
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引用次数: 0

摘要

本文讨论了正规准接触度量流形上的M-投影张量和Weyl曲率张量。对于正规准接触度量流形,研究了伪对称情形,得到了一些有趣的结果。我们证明了一个半对称正态副接触流形具有常截面曲率。我们还得到了一个伪对称正态旁接触度量流形是$\eta$-Enstein流形。最后,我们用一个例子来支持我们的主题。
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Some results on pseudosymmetric normal paracontact metric manifolds
TIn this article, the M-projective and Weyl curvature tensors on a normal paracontact metric manifold are discussed. For normal paracontact metric manifolds, pseudosymmetric cases are investigated and some interesting results are obtained. We show that a semisymmetric normal paracontact manifold is of constant sectional curvature. We also obtain that a pseudosymmetric normal paracontact metric manifold is an $\eta$-Einstein manifold. Finally, we support our topic with an example.
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