Three-dimensional Riemannian manifolds with circulant structures

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.

9 pages, reported on : 11th International Conference on Geometry and Applications, September 1--6, 2013, Varna, Bulgaria, J. Geom. 105 (2014), 187-188

References in corpus (1)

• On a Three Dimensional Riemannian Manifold with an Additional Structure