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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{DVMG_2024_24_2_a2,
     author = {M. A. Guzev and O. N. Lyubimova and K. N. Pestov},
     title = {Beltrami-Mitchell equations in a {non-Euclidean} continuum model},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {178--186},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a2/}
}
TY  - JOUR
AU  - M. A. Guzev
AU  - O. N. Lyubimova
AU  - K. N. Pestov
TI  - Beltrami-Mitchell equations in a non-Euclidean continuum model
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2024
SP  - 178
EP  - 186
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a2/
LA  - ru
ID  - DVMG_2024_24_2_a2
ER  - 
%0 Journal Article
%A M. A. Guzev
%A O. N. Lyubimova
%A K. N. Pestov
%T Beltrami-Mitchell equations in a non-Euclidean continuum model
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2024
%P 178-186
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a2/
%G ru
%F DVMG_2024_24_2_a2
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/