Geodesic
Nearly Integrable SO(3) Structures on 5-Dimensional Lie Groups
Journal of Lie theory, Tome 17 (2007) no. 3, pp. 539-562.

Voir la notice de l'article provenant de la source Heldermann Verlag

Recent work of M. Bobienski and P. Nurowski [J. Reine Angew. Math., to appear] on 5-dimensional Riemannian manifolds with an SO(3) structure prompts us to investigate which Lie groups admit such a geometry. The case in which the SO(3) structure admits a compatible connection with torsion is considered. This leads to a classification with respect to special behaviour of the connection, which enables us to recover all known examples, plus others bearing torsion of pure type. Suggestive relations with special structures in other dimensions are highlighted, with attention to eight-dimensional SU(3) geometry.
Classification : 53A40, 53C10, 53B15, 53C35, 53C25
Mots-clés : SO(3) structure, connections with skewsymmetric torsion, symmetric space 
@article{JLT_2007_17_3_JLT_2007_17_3_a5,
     author = {S. G. Chiossi and A. Fino },
     title = {Nearly {Integrable} {SO(3)} {Structures} on {5-Dimensional} {Lie} {Groups}},
     journal = {Journal of Lie theory},
     pages = {539--562},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a5/}
}
TY  - JOUR
AU  - S. G. Chiossi
AU  - A. Fino 
TI  - Nearly Integrable SO(3) Structures on 5-Dimensional Lie Groups
JO  - Journal of Lie theory
PY  - 2007
SP  - 539
EP  - 562
VL  - 17
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a5/
ID  - JLT_2007_17_3_JLT_2007_17_3_a5
ER  - 
%0 Journal Article
%A S. G. Chiossi
%A A. Fino 
%T Nearly Integrable SO(3) Structures on 5-Dimensional Lie Groups
%J Journal of Lie theory
%D 2007
%P 539-562
%V 17
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a5/
%F JLT_2007_17_3_JLT_2007_17_3_a5
S. G. Chiossi; A. Fino . Nearly Integrable SO(3) Structures on 5-Dimensional Lie Groups. Journal of Lie theory, Tome 17 (2007) no. 3, pp. 539-562. http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a5/