A full classification of contact metric $(k,\mu)$-spaces
Boeckx, E.
Illinois J. Math., Tome 44 (2000) no. 4, p. 212-219 / Harvested from Project Euclid
We show that a non-Sasakian contact metric manifold whose characteristic vector field belongs to the $(k,\mu)$-nullity distribution is completely determined locally by its dimension and the values for $k$ and $\mu$. We present explicit examples for all possible dimensions and all possible $(k,\mu)$.
Publié le : 2000-03-15
Classification:  53D10,  53D15
@article{1255984960,
     author = {Boeckx, E.},
     title = {A full classification of contact metric $(k,\mu)$-spaces},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 212-219},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984960}
}
Boeckx, E. A full classification of contact metric $(k,\mu)$-spaces. Illinois J. Math., Tome 44 (2000) no. 4, pp.  212-219. http://gdmltest.u-ga.fr/item/1255984960/