2018
Том 70
№ 11

New equations of infinitesimal deformations of surfaces in $E_3$

Potapenko I. V.

Abstract

We establish a condition for two symmetric tensor fields that is necessary and sufficient for the existence of a displacement vector in the case of infinitesimal deformation of a surface in the Euclidean space E 3.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 2, pp 222-226.

Citation Example: Potapenko I. V. New equations of infinitesimal deformations of surfaces in $E_3$ // Ukr. Mat. Zh. - 2010. - 62, № 2. - pp. 199–202.

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