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The Classification of 7- and 8-dimensional Naturally Reductive Spaces
Part of
- Local differential geometry
- Global differential geometry
Reinier Storm
Journal:

Canadian Journal of Mathematics / Volume 72 / Issue 5 / October 2020

Published online by Cambridge University Press:

30 May 2019, pp. 1246-1274

Print publication:

October 2020
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A new method for classifying naturally reductive spaces is presented. This method relies on a new construction and the structure theory of naturally reductive spaces recently developed by the author. This method is applied to obtain the classification of all naturally reductive spaces in dimension 7 and 8.

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The Classification of 7- and 8-dimensional Naturally Reductive Spaces