Some subtleties of Riemannian geometry

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 ${\sigma }_M$ by the world function ${\sigma }_R$ of the Riemannian space-time in the solution.

7 pages, 0 figures

References in corpus (2)

• Tubular geometry construction as a reason for new revision of the space-time conception
• Geometrical dynamics: spin as a result of rotation with superluminal speed