Natural Connections on Riemannian Product Manifolds
53C15, 53C25, 53B05 | Mathematics - Differential Geometry
arxiv: Mathematics::Differential Geometry | Mathematics::Geometric Topology | Mathematics::Symplectic Geometry
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.