- journal article metadata
European Mathematical Society Publishing House
2017-03-24 14:03:38
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
33
2017
1
Homogeneous structures of linear type on $\epsilon$-Kähler and $\epsilon$-quaternion Kähler manifolds
Marco
Castrillón López
Universidad Complutense de Madrid, MADRID, SPAIN
Ignacio
Luján
Universidad Complutense de Madrid, MADRID, SPAIN
Homogeneous plane waves, para-Kähler, pseudo-Kähler, pseudo-quaternion Kähler, para-quaternion Kähler, reductive homogeneous pseudo-Riemannian spaces
We analyze degenerate homogeneous structures of linear type in the pseudo-Kähler and para-Kähler cases. The local form and the holonomy of pseudo-Kähler or para-Kähler manifolds admitting such structure are obtained. In addition the associated homogeneous models are studied exhibiting their relation with the incompleteness of the metric. The same questions are tackled in the pseudo-quaternion Kähler and para-quaternion Kähler cases. These results complete the study of homogeneous structures of linear type in pseudo-Kähler, para-Kähler, pseudo-quaternion Kähler and para-quaternion Kähler cases.
Differential geometry
139
168
10.4171/RMI/930
http://www.ems-ph.org/doi/10.4171/RMI/930