The Classification of 7- and 8-dimensional Naturally Reductive Spaces
Canadian journal of mathematics, Tome 72 (2020) no. 5, pp. 1246-1274
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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.
Mots-clés :
naturally reductive, homogeneous space, parallel skew torsion, classification
Storm, Reinier. The Classification of 7- and 8-dimensional Naturally Reductive Spaces. Canadian journal of mathematics, Tome 72 (2020) no. 5, pp. 1246-1274. doi: 10.4153/S0008414X19000300
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author = {Storm, Reinier},
title = {The {Classification} of 7- and 8-dimensional {Naturally} {Reductive} {Spaces}},
journal = {Canadian journal of mathematics},
pages = {1246--1274},
year = {2020},
volume = {72},
number = {5},
doi = {10.4153/S0008414X19000300},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000300/}
}
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