Riemannian manifolds with two circulant structures
Differential Geometry
2017-09-19 v2
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.
Cite
@article{arxiv.1308.4838,
title = {Riemannian manifolds with two circulant structures},
author = {Iva Dokuzova},
journal= {arXiv preprint arXiv:1308.4838},
year = {2017}
}
Comments
12 pages