<p>It is classically known that developable frontals are frontals with degenerate Gaussian mappings and their singularities have been widely studied. In this paper We study the singularities of evolving developable frontals. Some properties of the corresponding caustics, pedals and pedaloids of developable frontals are presented. We also establish dualities between different types of singularity in various viewpoints.</p>

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Singularities and dualities of evolving developable frontals

  • Zhichao Yang,
  • Yanlin Li,
  • Rafael López

摘要

It is classically known that developable frontals are frontals with degenerate Gaussian mappings and their singularities have been widely studied. In this paper We study the singularities of evolving developable frontals. Some properties of the corresponding caustics, pedals and pedaloids of developable frontals are presented. We also establish dualities between different types of singularity in various viewpoints.