
The author assumes a product manifold \(M= E\times F\) to be equipped with a warped product metric. Therefrom arises by adding a mixed 2-form such that \(E\), \(F\) are no longer orthogonal an oblique warped product metric. The author discusses the existence of such a structure and gives examples: generalized Robertson-Walker space-times and more. Naturally, there emerge connections different from the Levi-Cività one, named after Schouten, Van Kampen, and Vrănceanu.
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Schouten-van Kampen and Vranceanu connections, Foliations (differential geometric aspects), oblique Robertson-Walker space-time, oblique warped products, Relativistic cosmology, foliations
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Schouten-van Kampen and Vranceanu connections, Foliations (differential geometric aspects), oblique Robertson-Walker space-time, oblique warped products, Relativistic cosmology, foliations
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