English

Wave front evolution and pedal evolution

Geometric Topology 2012-07-12 v2

Abstract

The calculus correspondence has been known to exist between generic pedal evolutions and generic wave front evolutions. In this paper, we first extend the known results on the calculus correspondence to evolutions with multi-parameters, and then give applications of calculus correspondence. Moreover, we discuss the possibility of generalization of the calculus correspondence to degenerate pedal evolutions and degenerate wave front evolutions.

Cite

@article{arxiv.1206.5602,
  title  = {Wave front evolution and pedal evolution},
  author = {Takashi Nishimura},
  journal= {arXiv preprint arXiv:1206.5602},
  year   = {2012}
}

Comments

Minor corrections

R2 v1 2026-06-21T21:24:49.144Z