Almost complex connections on almost complex manifolds with Norden metric

Details Almost complex connections on almost complex manifolds with Norden metric Almost complex connections on almost complex manifolds with Norden metric

2011-04-29

arxiv.org/abs/1104.5662v1

Differential Geometry, Complex Analysis and Mathematical Physics, Proc. of The 9th International Workshop on Complex Structure

Mathematics

Differential Geometry

Scientific paper

A four-parametric family of linear connections preserving the almost complex structure is defined on an almost complex manifold with Norden metric. Necessary and sufficient conditions for these connections to be natural are obtained. A two-parametric family of complex connections is studied on a conformal K\"{a}hler manifold with Norden metric. The curvature tensors of these connections are proved to coincide.

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