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Abstract In this paper we study the ruled surfaces generated by elliptic cylindrical curves in the isotropic 3-space ???? 3 {\mathbb{I}^{3}} . We classify such surfaces in ???? 3 {\mathbb{I}^{3}}… Click to show full abstract
Abstract In this paper we study the ruled surfaces generated by elliptic cylindrical curves in the isotropic 3-space ???? 3 {\mathbb{I}^{3}} . We classify such surfaces in ???? 3 {\mathbb{I}^{3}} with constant curvature and satisfying an equation in terms of the components of the position vector field and the Laplacian operator. Several examples are given and illustrated by figures.
Keywords:
surfaces generated;
generated elliptic;
elliptic cylindrical;
curves isotropic;
cylindrical curves;
ruled surfaces
Journal Title: Georgian Mathematical Journal
Year Published: 2017
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Journal Title: Georgian Mathematical Journal
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!