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Lie Groups as Four-dimensional Complex Manifolds with Norden Metric

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Abstract.

Two examples of 4-dimensional complex manifolds with Norden metric are constructed by means of Lie groups and Lie algebras. Both manifolds are characterized geometrically. The form of the curvature tensor for each of the examples is obtained. Conditions these manifolds to be isotropic-Kählerian are given.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, University of Plovdiv, 236, Bulgaria Blvd., Plovdiv, 4003, Bulgaria

    Kostadin Gribachev & Marta Teofilova

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  1. Kostadin Gribachev
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  2. Marta Teofilova
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Correspondence to Kostadin Gribachev.

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Gribachev, K., Teofilova, M. Lie Groups as Four-dimensional Complex Manifolds with Norden Metric. J. geom. 89, 34–47 (2008). https://doi.org/10.1007/s00022-008-2053-9

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  • DOI: https://doi.org/10.1007/s00022-008-2053-9

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