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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 2, pp. 199–202, February, 2010.
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Potapenko, I.V. New equations of infinitesimal deformations of surfaces in E 3 . Ukr Math J 62, 222–226 (2010). https://doi.org/10.1007/s11253-010-0346-2
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DOI: https://doi.org/10.1007/s11253-010-0346-2