Cosymplectic and α-cosymplectic Lie algebras

2016/01/18 by Giovanni Calvaruso, Calvaruso, Giovanni, Antonella Perrone +1
Mathematics · #22E25 #53C12 #53C15 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:22E25 #msc:53C12 #msc:53C15 #msc:53C25

paper · pdf · doi:10.48550/arxiv.1601.04572

21 pages

arxiv created 2016/01/18 · arxiv updated 2016/01/19

Abstract

We completely characterize cosymplectic and α-cosymplectic Lie algebras in terms of corresponding symplectic Lie algebras and suitable derivations on them. Several examples are given and classification results are obtained in dimension five for cosymplectic, K-cosymplectic and coKähler Lie algebras.

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