English

The classification of 7- and 8-dimensional naturally reductive spaces

Differential Geometry 2020-09-16 v1

Abstract

A new method for classifying naturally reductive spaces is presented. This method relies on the structure theory of naturally reductive spaces developed in \cite{Storm2018a} and the new construction of naturally reductive spaces in \cite{Storm2018}. We obtain the classification of all naturally reductive spaces in dimension 7 and 8.

Keywords

Cite

@article{arxiv.1810.03396,
  title  = {The classification of 7- and 8-dimensional naturally reductive spaces},
  author = {Reinier Storm},
  journal= {arXiv preprint arXiv:1810.03396},
  year   = {2020}
}