On a Three Dimensional Riemannian Manifold with an Additional Structure
Differential Geometry
2017-08-30 v2
Abstract
We consider a 3-dimensional Riemannian manifold with additional structure q. We find a condition that the affine structure q is parallel with respect to the Riamannian connection.We prove the sectional curvatures of three 2-sections formed linearly independent vectors are equal among them.
Cite
@article{arxiv.0905.0801,
title = {On a Three Dimensional Riemannian Manifold with an Additional Structure},
author = {Georgi Dzhelepov and Iva Dokuzova and Dimitar Razpopov},
journal= {arXiv preprint arXiv:0905.0801},
year = {2017}
}
Comments
9 pages