2018
Том 70
№ 2

# Leiko Network on the Surfaces in the Euclidean Space $E_3$

Potapenko I. V.

Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 6, pp 928-937.

Citation Example: Potapenko I. V. Leiko Network on the Surfaces in the Euclidean Space $E_3$ // Ukr. Mat. Zh. - 2015. - 67, № 6. - pp. 820–828.