Canonical connection on quasi-Kaehler manifolds with Norden metric

Details Canonical connection on quasi-Kaehler manifolds with Norden metric Canonical connection on quasi-Kaehler manifolds with Norden metric

2008-12-18

arxiv.org/abs/0812.3516v3

J. Tech. Univ. Plovdiv Fundam. Sci. Appl. Ser. A Pure Appl. Math., 2009, 14, p. 73-86

Mathematics

Differential Geometry

13 pages

Scientific paper

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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