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Leiko Network on the Surfaces in the Euclidean Space E 3

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Ukrainian Mathematical Journal Aims and scope

We introduce the notion of Leiko network as a generalization of the geodetic network on the surfaces of nonzero Gaussian curvature in the Euclidian space E 3 and study its characteristics. The conditions of preservation of the Leiko network under infinitesimal deformations of the surfaces are also obtained.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 6, pp. 820–828, June, 2015.

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Potapenko, I.V. Leiko Network on the Surfaces in the Euclidean Space E 3 . Ukr Math J 67, 928–937 (2015). https://doi.org/10.1007/s11253-015-1123-z

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  • DOI: https://doi.org/10.1007/s11253-015-1123-z

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