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arXiv 1104.5342math.DG
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Norden度量下正规几乎切触流形上的线性联络

Linear Connections on Normal Almost Contact Manifolds with Norden Metric

Marta Teofilova

摘要:

利用Norden度量在几乎切触流形上构造了线性联络族。在具有Norden度量和闭结构1-形式的正规几乎切触流形上得到了一个类似于对称Yano联络的联络。研究了两类基本的Norden度量的法几乎切触流形上的这类联络的曲率性质。

英文摘要:

Families of linear connections are constructed on almost contact manifolds with Norden metric. An analogous connection to the symmetric Yano connection is obtained on a normal almost contact manifold with Norden metric and closed structural 1-form. The curvature properties of this connection are studied on two basic classes of normal almost contact manifolds with Norden metric.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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