Far Eastern Mathematical Journal

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Ricci tensor of isotropic inhomogeneous temperature deformation

Pestov K.N.

2025, issue 2, P. 244–250 DOI: https://doi.org/10.47910/FEMJ202517

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.

Keywords: Ricci tensor, scalar curvature, temperature deformations.

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References

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