The homogeneous quaternionic Kähler structures on the Alekseevskian 𝒲-spaces with their natural quaternionic structures, each of these spaces described as a solvable Lie group, and the type of such structures in Fino's classification, are found.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-3-2, author = {Wafaa Batat and P. M. Gadea and Jaime Mu\~noz Masqu\'e}, title = {Homogeneous quaternionic Kahler structures on Alekseevskian W-spaces}, journal = {Annales Polonici Mathematici}, volume = {105}, year = {2012}, pages = {229-242}, zbl = {1266.53052}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-3-2} }
Wafaa Batat; P. M. Gadea; Jaime Muñoz Masqué. Homogeneous quaternionic Kähler structures on Alekseevskian 𝒲-spaces. Annales Polonici Mathematici, Tome 105 (2012) pp. 229-242. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-3-2/