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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2025 Volume 25, Number 2, Pages 244–250 (Mi dvmg571)

Ricci tensor of isotropic inhomogeneous temperature deformation

K. N. Pestov

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

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.

UDC: 531.9

MSC: 74A05

Received: 01.06.2025
Accepted: 07.11.2025

DOI: 10.47910/FEMJ202517



© Steklov Math. Inst. of RAS, 2026