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

  • I. V. Potapenko

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.
Published
25.06.2015
How to Cite
PotapenkoI. V. “Leiko Network on the Surfaces in the Euclidean Space $E_3$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 6, June 2015, pp. 820–828, http://umj.imath.kiev.ua/index.php/umj/article/view/2024.
Section
Research articles