2018
Том 70
№ 1

On the reconstruction of the variation of the metric tensor of a surface on the basis of a given variation of christoffel symbols of the second kind under infinitesimal deformations of surfaces in the euclidean space $E_3$

Potapenko I. V.

Abstract

We investigate the problem of reconstruction of variation of a metric tensor of a surface on the basis of given variation of the sekond-kind Christoffel symbols for infinitesimal deformations of surfaces in the Euclidean space $E_3$.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 4, pp 609-616.

Citation Example: Potapenko I. V. On the reconstruction of the variation of the metric tensor of a surface on the basis of a given variation of christoffel symbols of the second kind under infinitesimal deformations of surfaces in the euclidean space $E_3$ // Ukr. Mat. Zh. - 2011. - 63, № 4. - pp. 523-530.

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