Abstract:
An exact nonlinear expression is obtained for the components of the Ricci tensor and scalar curvature for isotropic
inhomogeneous temperature deformation. The conditions in the field of temperature variation are given, under which
linearization of the components of the Ricci tensor is possible. The condition for the Euclidean nature of the deformed
state is obtained.
Key words:Ricci tensor, scalar curvature, temperature deformations.