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arXiv · 1308.4838

Riemannian manifolds with two circulant structures

Iva Dokuzova
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Abstract

We consider a three-dimensional Riemannian manifold equipped with two circulant structures - a metric g and a structure q, which is an isometry with respect to g and the third power of q is minus identity. We discuss some curvature properties of this manifold, we give an example of such a manifold and find a condition for q to be parallel with respect to the Riemannian connection of g.

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Iva Dokuzova. 2013-08-22. Riemannian manifolds with two circulant structures. https://doi.org/10.1007/s00022-014-0218-2.

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