Geodesic
Continuous bendings of convex surfaces with boundary conditions
Sbornik. Mathematics, Tome 38 (1981) no. 4, pp. 453-463

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The author studies continuous bendings of simply connected surfaces of positive curvature, of class $C^{3,\nu}$, $0\nu1$, with boundary of class $C^{3,\nu}$, $0\nu1$, under exterior connections on the boundary (the generalized sliding condition, sleeve connections, etc.). A class of exterior connections compatible with continuous bendings of these surfaces is indicated. Bibliography: 3 titles. 
@article{SM_1981_38_4_a1,
     author = {V. T. Fomenko},
     title = {Continuous bendings of convex surfaces with boundary conditions},
     journal = {Sbornik. Mathematics},
     pages = {453--463},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {1981},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_38_4_a1/}
}
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V. T. Fomenko. Continuous bendings of convex surfaces with boundary conditions. Sbornik. Mathematics, Tome 38 (1981) no. 4, pp. 453-463. http://geodesic.mathdoc.fr/item/SM_1981_38_4_a1/