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.

8 pages

Cited by in corpus (1)

• A natural connection on a basic class of Riemannian product manifolds