Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Ruled surfaces generated by elliptic cylindrical curves in the isotropic space

Ruled surfaces generated by elliptic cylindrical curves in the isotropic space AbstractIn this paper we study the ruled surfaces generated byelliptic cylindrical curves in the isotropic 3-space 𝕀3{\mathbb{I}^{3}}.We classify such surfaces in 𝕀3{\mathbb{I}^{3}}with constant curvature andsatisfying an equation in terms of the components of the position vectorfield and the Laplacian operator. Several examples are given and illustrated by figures. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Ruled surfaces generated by elliptic cylindrical curves in the isotropic space

Loading next page...
 
/lp/de-gruyter/ruled-surfaces-generated-by-elliptic-cylindrical-curves-in-the-ZzdPmm5UdP

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
de Gruyter
Copyright
© 2019 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
DOI
10.1515/gmj-2017-0044
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper we study the ruled surfaces generated byelliptic cylindrical curves in the isotropic 3-space 𝕀3{\mathbb{I}^{3}}.We classify such surfaces in 𝕀3{\mathbb{I}^{3}}with constant curvature andsatisfying an equation in terms of the components of the position vectorfield and the Laplacian operator. Several examples are given and illustrated by figures.

Journal

Georgian Mathematical Journalde Gruyter

Published: Sep 1, 2019

References