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

Published online by Cambridge University Press:  30 May 2019

Reinier Storm*
Affiliation:
KU Leuven, Department of Mathematics, Celestijnenlaan 200B – Box 2400, BE-3001 Leuven, Belgium Email: reinier.storm@kuleuven.be

Abstract

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.

Type
Article
Copyright
© Canadian Mathematical Society 2019

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Footnotes

The author is supported by project 3E160361 of the KU Leuven Research Fund.

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