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arXiv · 1308.4834

Three-dimensional Riemannian manifolds with circulant structures

Iva Dokuzova·Dimitar Razpopov·Georgi Dzhelepov
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Abstract

We consider a 3-dimensional Riemannian manifold M with two circulant structures -- a metric g and an endomorphism q whose third power is identity. The structure q is compatible with g such that an isometry is induced in any tangent space of M. We obtain some curvature properties of this manifold (M, g, q) and give an explicit example of such a manifold.

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Iva Dokuzova, Dimitar Razpopov, Georgi Dzhelepov. 2013-08-22. Three-dimensional Riemannian manifolds with circulant structures. https://arxiv.org/abs/1308.4834

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