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arxiv: 0804.2797 · v1 · pith:6GEPY3X4new · submitted 2008-04-17 · 🧮 math.DG

Quasi-Kaehler manifolds with a pair of Norden metrics

classification 🧮 math.DG
keywords manifoldsnordenlevi-civitametricspairquasi-kaehleralmostassociated
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The basic class of the non-integrable almost complex manifolds with a pair of Norden metrics are considered. The interconnections between corresponding quantities at the transformation between the two Levi-Civita connections are given. A 4-parametric family of 4-dimensional quasi-Kaehler manifolds with Norden metric is characterized with respect to the associated Levi-Civita connection.

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