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Ukrainian Mathematical Journal

, Volume 67, Issue 6, pp 928–937 | Cite as

Leiko Network on the Surfaces in the Euclidean Space E 3

  • I. V. Potapenko
Article
  • 17 Downloads

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.

Keywords

Euclidean Space Geodesic Curvature Geodetic Network Regular Network Regular Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • I. V. Potapenko
    • 1
  1. 1.Mechnikov Odessa National UniversityOdessaUkraine

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