The classification of 7- and 8-dimensional naturally reductive spaces
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- 10.48550/arXiv.1810.03396
- arXiv:
- arXiv:1810.03396
- Bibcode:
- 2018arXiv181003396S
- Keywords:
-
- Mathematics - Differential Geometry;
- 53C30;
- 53B20
- E-Print:
- Can. J. Math.-J. Can. Math. 72 (2020) 1246-1274