The Classification of 7- and 8-dimensional Naturally Reductive Spaces
Canadian journal of mathematics, Tome 72 (2020) no. 5, pp. 1246-1274

Voir la notice de l'article provenant de la source Cambridge

DOI

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.
DOI : 10.4153/S0008414X19000300
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
@article{10_4153_S0008414X19000300,
     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/}
}
TY  - JOUR
AU  - Storm, Reinier
TI  - The Classification of 7- and 8-dimensional Naturally Reductive Spaces
JO  - Canadian journal of mathematics
PY  - 2020
SP  - 1246
EP  - 1274
VL  - 72
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000300/
DO  - 10.4153/S0008414X19000300
ID  - 10_4153_S0008414X19000300
ER  - 
%0 Journal Article
%A Storm, Reinier
%T The Classification of 7- and 8-dimensional Naturally Reductive Spaces
%J Canadian journal of mathematics
%D 2020
%P 1246-1274
%V 72
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000300/
%R 10.4153/S0008414X19000300
%F 10_4153_S0008414X19000300

Cité par Sources :