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On 3-dimensional almost Einstein manifolds with circulant structures
2020
Journal:  
Turkish Journal of Mathematics
Author:  
Abstract:

A 3-dimensional Riemannian manifold equipped with a tensor structure of type (1,1), whose third power is the identity, is considered. This structure and the metric have circulant matrices with respect to some basis, i.e. these structures are circulant. An associated manifold, whose metric is expressed by both structures, is studied. Three classes of such manifolds are considered. Two of them are determined by special properties of the curvature tensor of the manifold. The third class is composed by manifolds whose structure is parallel with respect to the Levi-Civitaconnection of the metric. Some geometric characteristics of these manifolds are obtained. Examples of such manifolds are given

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2020
Author:  
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2020
Author:  
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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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Article : 2.274
Cite : 622
Turkish Journal of Mathematics