JP Journal of Geometry and Topology
Volume 6, Issue 1, Pages 55 - 68
(March 2006)
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A LIE GROUP AS A 4-DIMENSIONAL QUASI-KÄHLER MANIFOLD WITH NORDEN METRIC
Kostadin Gribachev (Bulgaria), Mancho Manev (Bulgaria) and Dimitar Mekerov (Bulgaria)
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Abstract: A 4-parametric family of 4-dimensional quasi-Kähler manifolds with Norden metric is constructed on a Lie group. This family is characterized geometrically. The condition for such a 4-manifold to be isotropic Kähler is given. |
Keywords and phrases: almost complex manifold, Norden metric, quasi-Kähler manifold, indefinite metric, non-integrable almost complex structure, Lie group. |
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