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On Lie groups as quasi-Kähler manifolds with Killing Norden metric
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Mancho Manev
Published/Copyright:
September 11, 2008
Abstract
A 6-parametric family of 6-dimensional quasi-Kähler manifolds with Norden metric is constructed on a Lie group. This family is characterized geometrically.
Key words.: Almost complex manifold; Norden metric; quasi-Kähler manifold; indefinite metric; non-integrable almost complex structure; Lie group
Accepted: 2006-11-10
Published Online: 2008-09-11
Published in Print: 2008-August
© de Gruyter 2008
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Articles in the same Issue
- A rigidity result for domains with a locally strictly convex point
- On the geometry of Grassmannian equivalent connections
- On Lie groups as quasi-Kähler manifolds with Killing Norden metric
- Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold
- A characterization of m-ovoids and i-tight sets of polar spaces
- On Grassmann secant extremal varieties
- Almost del Pezzo manifolds
- Projective models of K3 surfaces with an even set
- Nonrational del Pezzo fibrations
- Principal bundles over a smooth real projective curve of genus zero
Keywords for this article
Almost complex manifold;
Norden metric;
quasi-Kähler manifold;
indefinite metric;
non-integrable almost complex structure;
Lie group
Articles in the same Issue
- A rigidity result for domains with a locally strictly convex point
- On the geometry of Grassmannian equivalent connections
- On Lie groups as quasi-Kähler manifolds with Killing Norden metric
- Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold
- A characterization of m-ovoids and i-tight sets of polar spaces
- On Grassmann secant extremal varieties
- Almost del Pezzo manifolds
- Projective models of K3 surfaces with an even set
- Nonrational del Pezzo fibrations
- Principal bundles over a smooth real projective curve of genus zero