On model mutation for reductive Cartan geometries and non-existence of Cartan space forms
Lotta, Antonio
Kodai Math. J., Tome 27 (2004) no. 1, p. 174-188 / Harvested from Project Euclid
Reductive models $((\frak g,\frak h),H)$ for Cartan geometries are showed to fall into two classes, symmetric and non symmetric type, according to the existence or non existence of a mutation $\frak g'=\frak h\oplus\frak m$ where the $H$-module $\frak m$ is an abelian subalgebra. Sasakian structures are showed to be Cartan geometries having a model of non symmetric type and other examples of models of this type are exhibited. Reductive models for which no Cartan space forms exist are constructed. The phenomenon of non-existence of Cartan space forms pertains to models of non symmetric type.
Publié le : 2004-06-14
Classification: 
@article{1093351324,
     author = {Lotta, Antonio},
     title = {On model mutation for reductive Cartan geometries and non-existence of Cartan space forms},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 174-188},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1093351324}
}
Lotta, Antonio. On model mutation for reductive Cartan geometries and non-existence of Cartan space forms. Kodai Math. J., Tome 27 (2004) no. 1, pp.  174-188. http://gdmltest.u-ga.fr/item/1093351324/