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Publication Date:
September 2008
ISSN:
1615-7168
DOI:
10.1515/ADVGEOM.2008.022

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On Lie groups as quasi-Kähler manifolds with Killing Norden metric

Mancho Manev1 / Dimitar Mekerov1

1 University of Plovdiv, Faculty of Mathematics and Informatics, 236 Bulgaria Blvd., 4003 Plovdiv, Bulgaria. Email: mmanev@uni-plovdiv.bg, mircho@uni-plovdiv.bg

Citation Information: Advances in Geometry. Volume 8, Issue 3, Pages 343–352, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/ADVGEOM.2008.022, September 2008

Publication History:
Accepted:
2006-11-10
Published Online:
2008-09-11

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

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