Hypersymplectic four-dimensional Lie algebras

Details Hypersymplectic four-dimensional Lie algebras Hypersymplectic four-dimensional Lie algebras

2003-10-29

arxiv.org/abs/math/0310462v1

Mathematics

Differential Geometry

Scientific paper

A study is made of real Lie algebras admitting a hypersymplectic structure,
and we provide a method to construct such hypersymplectic Lie algebras. We use
this method in order to obtain the classification of all hypersymplectic
structures on four-dimensional Lie algebras, and we describe the associated
metrics on the corresponding Lie groups.

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