Natural Connections on Riemannian Product Manifolds

Abstract

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.

arXiv comment8 pages

Cited by in corpus (6)

• A classification of the torsion tensors on almost contact manifolds with B-metric
• On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type
• A natural connection on a basic class of Riemannian product manifolds
• Invariant tensors related with natural connections for a class Riemannian product manifolds
• Natural connections with torsion expressed by the metric tensors on almost contact manifolds with B-metric
• Four-dimensional Riemannian product manifolds with circulant structures