This article is cited in 8 papers

Recovering convex surfaces from the extrinsic curvature in Galilean space

A. Artykbaev


Abstract: In this paper the author considers the problem of the existence and uniqueness of a surface with given extrinsic curvature in three-dimensional Galilean space. A new approach to the definition of the extrinsic curvature of a convex surface is given.
Figures: 5.
Bibliography: 15 titles.

UDC: 513.8

MSC: Primary 53A35; Secondary 53C45

Received: 19.06.1981

 English version: Mathematics of the USSR-Sbornik, 1984, 47:1, 195–214

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