Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers

Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers

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 alm...

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Bibliographic Details
Main Authors: José Luis Carmona Jiménez, Marco Castrillón López
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Axioms
Subjects:
Ambrose–Singer connections
almost contact metric manifolds
homogeneous manifolds
homogeneous structures
pseudo-Kähler manifolds
pseudo-Riemannian metrics
Online Access:https://www.mdpi.com/2075-1680/9/3/94

Internet

https://www.mdpi.com/2075-1680/9/3/94

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