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arXiv:math/0310180 [math.DG]AbstractReferencesReviewsResources

Classification of four-dimensional Lie algebras admitting a para-hypercomplex structure

N. Blazic, S. Vukmirovic

Published 2003-10-13Version 1

The main goal is to classify 4-dimensional real Lie algebras $\g$ which admit a para-hypercomplex structure. This is a step toward the classification of Lie groups admitting the corresponding left-invariant structure and therefore possessing a neutral, left-invariant, anti-self-dual metric. Our study is related to the work of Barberis who classified real, 4-dimensional simply-connected Lie groups which admit an invariant hypercomplex structure.

Comments: 15 pages
Categories: math.DG
Subjects: 53C50, 53C56, 32M10, 53C26, 53C55
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