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oai:docta.ucm.es:20.500.14352/1047622024-06-07T23:46:33Zcom_20.500.14352_14col_20.500.14352_15

Homogeneous structures of linear type on ϵ-Kähler and ϵ-quaternion Kähler manifolds Castrillón López, Marco Luján, Ignacio We analyze degenerate homogeneous structures of linear type in the pseudo-Kähler and para-Kähler cases. The local form and the holonomy of pseudo-K¨ahler or para-K¨ahler 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-K¨ahler, para-K¨ahler, pseudo-quaternion Kähler and paraquaternion Kähler cases. 2024-06-07T11:45:39Z 2024-06-07T11:45:39Z 2024-06-07T11:45:39Z 2017-02-22 journal article https://hdl.handle.net/20.500.14352/104762 0213-2230 2235-0616 10.4171/rmi/930 eng López, M. C., & Luján, I. (2013). Homogeneous structures of linear type on ϵ-Kähler and ϵ-quaternion Kähler manifolds. Rev. Mat. Iberoam. 2017; 33(1): 139-168. http://creativecommons.org/licenses/by/4.0/ open access Attribution 4.0 International EMS Press