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

Part of: Local differential geometry Global differential geometry

Published online by Cambridge University Press:  30 May 2019

Reinier Storm
Reinier Storm*
Affiliation:
KU Leuven, Department of Mathematics, Celestijnenlaan 200B – Box 2400, BE-3001 Leuven, Belgium Email: [email protected]
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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.

Keywords

naturally reductivehomogeneous spaceparallel skew torsionclassification

MSC classification

Primary: 53C30: Homogeneous manifolds
Secondary: 53B20: Local Riemannian geometry
Type
Article
Information
Canadian Journal of Mathematics , Volume 72 , Issue 5 , October 2020 , pp. 1246 - 1274
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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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