Three-dimensional Riemannian manifolds with circulant structures
Differential Geometry
2019-04-24 v3
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.
Cite
@article{arxiv.1308.4834,
title = {Three-dimensional Riemannian manifolds with circulant structures},
author = {Iva Dokuzova and Dimitar Razpopov and Georgi Dzhelepov},
journal= {arXiv preprint arXiv:1308.4834},
year = {2019}
}
Comments
9 pages, reported on : 11th International Conference on Geometry and Applications, September 1--6, 2013, Varna, Bulgaria, J. Geom. 105 (2014), 187-188