On Darboux surfaces in a Riemannian space

V. T. Fomenko


Abstract: 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.

UDC: 513.813

MSC: Primary 53B25; Secondary 53A05, 53A10

Received: 28.12.1970

 English version: Mathematics of the USSR-Sbornik, 1972, 17:2, 183–189

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