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arXiv · 1810.03396

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

Reinier Storm
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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.

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Reinier Storm. 2018-10-08. The classification of 7- and 8-dimensional naturally reductive spaces. https://doi.org/10.4153/s0008414x19000300

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