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arXiv · 1501.03182

Curvature properties of $4$-dimensional Riemannian manifolds with a circulant structure

Iva Dokuzova
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Abstract

We consider a $4$-dimensional Riemannian manifold $M$ equip\-ped with a circulant structure $q$, which is an isometry with respect to the metric $g$ and $q^{4}=\id$, $q^{2}\neq \pm \id$. For such a manifold $(M, g, q)$ we obtain some assertions for the sectional curvatures of $2$-planes. We construct an example of such a manifold on a Lie group and we find some of its geometric characteristics.

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Iva Dokuzova. 2015-01-13. Curvature properties of $4$-dimensional Riemannian manifolds with a circulant structure. https://doi.org/10.1007/s00022-016-0356-9

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