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arxiv: 1104.5342 · v1 · pith:KWZ65DAXnew · submitted 2011-04-28 · 🧮 math.DG

Linear Connections on Normal Almost Contact Manifolds with Norden Metric

classification 🧮 math.DG
keywords almostcontactmetricnordenconnectionmanifoldsnormalconnections
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Families of linear connections are constructed on almost contact manifolds with Norden metric. An analogous connection to the symmetric Yano connection is obtained on a normal almost contact manifold with Norden metric and closed structural 1-form. The curvature properties of this connection are studied on two basic classes of normal almost contact manifolds with Norden metric.

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