Geodesic
Class of symmetric form for a model of the hydride phase transition
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Tome 223 (2023), pp. 128-137

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We consider a class of three-dimensional forms that admit a certain group of symmetries and are similar to tubular regions. Boundary-value problems in the invariant form in such domains can be reduced to problems with one spatial variable in a special coordinate system. A class of forms is proposed, their properties are proved, and examples are given.
Keywords: spatial symmetry, symmetry group
Mots-clés : hydride phase transition. 
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     title = {Class of symmetric form for a model of the hydride phase transition},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {128--137},
     publisher = {mathdoc},
     volume = {223},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2023_223_a12/}
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I. A. Chernov. Class of symmetric form for a model of the hydride phase transition. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 4, Tome 223 (2023), pp. 128-137. http://geodesic.mathdoc.fr/item/INTO_2023_223_a12/