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/