Four-dimensional naturally reductive pseudo-Riemannian spaces
Differential Geometry
2014-07-14 v1
Abstract
The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally reductive spaces with the real line and new families of indecomposable manifolds which are studied at the end of the article. The oscillator group is also analyzed from the point of view of this classification.
Cite
@article{arxiv.1407.3106,
title = {Four-dimensional naturally reductive pseudo-Riemannian spaces},
author = {Wafaa Batat and Marco Castrillon Lopez and Eugenia Rosado Maria},
journal= {arXiv preprint arXiv:1407.3106},
year = {2014}
}