Some subtleties of Riemannian geometry

Yuri A. Rylov

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arXiv · 0812.2833

Some subtleties of Riemannian geometry

Yuri A. Rylov

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Abstract

It is shown, that the conventional presentation of the Maxwell equations for the electromagnetic field in the Riemannian space-time appears to be problematic. The reason of hesitations is the fact, that a solution of the Maxwell equations in the space-time of Minkowski do not turn into solution of the Maxwell equations in the Riemannian space-time after replacement of Minkowskian world function $σ_{M}$ by the world function $σ_R$ of the Riemannian space-time in the solution.

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Yuri A. Rylov. 2008-12-16. Some subtleties of Riemannian geometry. https://arxiv.org/abs/0812.2833

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