Geodesic
The rigidity of internally pasted star-shaped surfaces
Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 321-333

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A proof is given for the rigidity of a closed surface, pasted internally according to Sabitov from two convex surfaces along a plane curve under the condition that it is star-shaped with respect to an interior point. 
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     author = {P. E. Markov},
     title = {The rigidity of internally pasted star-shaped surfaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {321--333},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a0/}
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P. E. Markov. The rigidity of internally pasted star-shaped surfaces. Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 321-333. http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a0/