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arxiv: 1101.5892 · v1 · pith:KYL7BBOLnew · submitted 2011-01-31 · 🧮 math.DG

Natural Connections on Riemannian Product Manifolds

classification 🧮 math.DG
keywords productriemannianalmostconnectionsmanifoldmanifoldsnaturalstructure
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A Riemannian almost product manifold with integrable almost product structure is called a Riemannian product manifold. In the present paper the natural connections on such manifolds are studied, i.e. the linear connections preserving the almost product structure and the Riemannian metric.

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