Oblique warped products

Physics

Scientific paper

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Scientific paper

We define the oblique warped products and prove their existence. In addition to the Levi-Civita connection we use both the Schouten Van Kampen and Vrănceanu connections to study the foliation and curvatures of an oblique warped product. As an application to cosmology we introduce the oblique Robertson Walker spacetime and give its basic properties.

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