On Darboux surfaces in a Riemannian space
Sbornik. Mathematics, Tome 17 (1972) no. 2, pp. 183-189
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A class of surfaces is defined in Riemannian space $V_3$ for which the system of equations for infinitesimal bending reduces to the simplest form. Certain properties of such surfaces are established. Bibliography: 4 titles.
[1] I. N. Vekua, Obobschennye analiticheskie funktsii, Fizmatgiz, Moskva, 1959 | MR
[2] V. F. Kagan, Teoriya poverkhnostei, ch. 2, OGIZ, Moskva–Leningrad, 1948 | Zbl
[3] A. V. Pogorelov, Vneshnyaya geometriya vypuklykh poverkhnostei, Nauka, Moskva, 1969 | MR
[4] G. F. Mordashova, “Analog poverkhnostei vtorogo poryadka v trekhmernom rimanovom prostranstve”, Uchenye zapiski Gork. un-ta, vyp. 80, ch. II, Gorkii, 1967, 70–77