Almost Kaehlerian and Hermitian Structures on Four Dimensional Indecomposable Lie Algebras

Authors : Mehmet SOLGUN

Pages : 117-121

Doi:10.32323/ujma.1169830

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Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :It is known that from a given almost Hermitian structure on a simply connected Liegroup, one can obtain left-invariant almost Hermitian structure on its Lie algebra.In this work, we consider Mubarakzyanov’s classification of four-dimensional realLie algebras and evaluate the existence of almost Hermitian structures on four dimensional decomposable real Lie algebras. In particular, we focus on almost Kaehlerian and Hermitian structures on these Lie algebras.
Keywords : Almost Hermitian manifold, Hermitian scructure, Kaehlerian structure