RT Journal Article
T1 Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
A1 Carmona Jiménez, J. L.
A1 Castrillón López, Marco
AB We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect pseudo-Kähler homogeneous structures with almost contact metric homogeneous structures. This relation will have consequences in the class of the almost contact manifold. Indeed, if we choose a pseudo-Kähler homogeneous structure of linear type, then the reduced, almost contact homogeneous structure is of linear type and the reduced manifold is of type C5⊕C6⊕C12 of Chinea-González classification.
PB MDPI
SN 2075-1680
YR 2020
FD 2020-08-01
LK https://hdl.handle.net/20.500.14352/7296
UL https://hdl.handle.net/20.500.14352/7296
LA eng
DS Docta Complutense
RD 3 jul 2025