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Natural Connections on Riemannian Product Manifolds

Differential Geometry 2011-02-01 v1

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.

Keywords

Cite

@article{arxiv.1101.5892,
  title  = {Natural Connections on Riemannian Product Manifolds},
  author = {Dobrinka Gribacheva},
  journal= {arXiv preprint arXiv:1101.5892},
  year   = {2011}
}

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8 pages