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

Autor:	José Luis Carmona Jiménez, Marco Castrillón López
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Ambrose–Singer connections almost contact metric manifolds homogeneous manifolds homogeneous structures pseudo-Kähler manifolds pseudo-Riemannian metrics Mathematics QA1-939
Zdroj:	Axioms, Vol 9, Iss 3, p 94 (2020)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms9030094
Popis:	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.
Databáze:	Directory of Open Access Journals
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