While modelling physical or other objects with the help of mappings it is always important to investigate the ability of an image to retain some properties of an original. The Weyl projective curvature tensor is a tensor object that characterizes a given space of affine connection. This paper presents necessary and sufficient conditions in order to preserve Weyl tensor when a space of affine connection An is mapped onto a space of affine connection Ān. Namely we proved that if components of Riemann tensors of spaces of affine connection of the special type have the same values then the projective curvature tensor is preserved in the course of mapping.
Topics
Riemannian geometry
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