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arxiv: 0812.3516 · v3 · pith:XRQKOZW3new · submitted 2008-12-18 · 🧮 math.DG · math.DS

Canonical connection on quasi-Kaehler manifolds with Norden metric

classification 🧮 math.DG math.DS
keywords connectioncanonicalmetricnordenquasi-kaehlermanifoldmanifoldstorsion
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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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