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In the present paper, we study helicoidal surfaces in the three dimensional isotropic space $\Bbb I^3$ and construct helicoidal surfaces with prescribed Gaussian curvature or mean curvature given by smooth… Click to show full abstract
In the present paper, we study helicoidal surfaces in the three dimensional isotropic space $\Bbb I^3$ and construct helicoidal surfaces with prescribed Gaussian curvature or mean curvature given by smooth functions. Moreover, we give some examples of helicoidal surfaces with non-constant Gaussian curvature or mean curvature.
Keywords:
isotropic space;
constructions helicoidal;
surfaces using;
helicoidal surfaces;
curvature
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2018
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Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!