K-contact Lie groups of dimension five or greater

Foreman, Brendan J.

Kodai Math. J., Tome 34 (2011) no. 1, p. 79-84 / Harvested from Project Euclid

Résumé

We prove that a K-contact Lie group of dimension five or greater is the central extension of a symplectic Lie group by complexifying the Lie algebra and applying a result from complex contact geometry, namely, that, if the adjoint action of the complex Reeb vector field on a complex contact Lie algebra is diagonalizable, then it is trivial.

Publié le : 2011-03-15
Classification:

@article{1301576763,
     author = {Foreman, Brendan J.},
     title = {K-contact Lie groups of dimension five or greater},
     journal = {Kodai Math. J.},
     volume = {34},
     number = {1},
     year = {2011},
     pages = { 79-84},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1301576763}
}

Foreman, Brendan J. K-contact Lie groups of dimension five or greater. Kodai Math. J., Tome 34 (2011) no. 1, pp.  79-84. http://gdmltest.u-ga.fr/item/1301576763/