Geodesic
Beltrami-Mitchell equations in a non-Euclidean continuum model
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 2, pp. 178-186.

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This work contains a generalization in covariant form of the classical Beltrami-Mitchell equations for the case of incompatible deformations. It is shown that in the corresponding relations an additional force appears, characterizing the internal non-Euclidean geometry of the material, the description of which is given in terms of the Ricci tensor. 
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M. A. Guzev; O. N. Lyubimova; K. N. Pestov. Beltrami-Mitchell equations in a non-Euclidean continuum model. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 2, pp. 178-186. http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a2/

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