Homogeneous structures of linear type on ϵ-Kähler and ϵ-quaternion Kähler manifolds

  1. Marco Castrillón López 1
  2. Ignacio Luján 1
  1. 1 Universidad Complutense de Madrid
    info

    Universidad Complutense de Madrid

    Madrid, España

    ROR 02p0gd045

Revue:
Revista matemática iberoamericana

ISSN: 0213-2230

Année de publication: 2017

Volumen: 33

Número: 1

Pages: 139-168

Type: Article

DOI: 10.4171/RMI/930 DIALNET GOOGLE SCHOLAR

D'autres publications dans: Revista matemática iberoamericana

Résumé

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.

La source de données: Dialnet