• Corpus ID: 229157271

Pedal curves, orthotomics and catacaustics of frontals in the hyperbolic 2-space

@article{Tuncer2020PedalCO,
  title={Pedal curves, orthotomics and catacaustics of frontals in the hyperbolic 2-space},
  author={O. Ogulcan Tuncer and Ismail Gok},
  journal={arXiv: Differential Geometry},
  year={2020}
}
In this paper, firstly the definition of the pedal curves of spacelike frontals is presented. The parametric representation of pedal curves of spacelike frontals is given by using the hyperbolic Legendrian moving frames along these frontals. We mainly deal with the classification and recognition problems of singularities of hyperbolic pedal curves of spacelike frontals constructed by non-singular and singular dual curve germs in hyperbolic 2-space. We show that for non-singular dual curve germs… 
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In this paper, we will give the definition of the pedal curves of frontals and investigate the geometric properties of these curves in the Euclidean plane. We obtain that pedal curves of frontals in…
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