Conformal mappings preserving the curvature of two-dimensional platforms
O. Olshevska, O. Latysh, Irina Kadievska · AIP conference proceedings · 2022
The paper treats conformal mappings of pseudo-Riemannian manifolds preserving the curvature of two-dimensional platforms. It is demonstrated that in the case of metrics with positive sign, this property relates only to the spaces of constant curvature. In the case of metrics with indefinite sign, the latter are joined by subprojective spaces of Kagan.