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arXiv · 0812.3516

Canonical connection on quasi-Kaehler manifolds with Norden metric

Dimitar Mekerov
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Abstract

We study the geometry of the canonical connection on a quasi-Kaehler manifold with Norden metric. We consider the cases when the canonical connection has Kaehler curvature tensor and parallel torsion, and derive conditions for an isotropic-Kaehler manifold. We give the relation between the canonical connection, the B-connection, and the connection with totally skew-symmetric torsion on quasi-Kaehler manifolds with Norden metric.

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Dimitar Mekerov. 2009-07-14. Canonical connection on quasi-Kaehler manifolds with Norden metric. https://arxiv.org/abs/0812.3516

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