English

Focal surfaces of wave fronts in the Euclidean 3-space

Differential Geometry 2020-03-25 v1

Abstract

We characterize singularities of focal surfaces of wave fronts in terms of differential geometric properties of the initial wave fronts. Moreover, we study relationships between geometric properties of focal surfaces and geometric invariants of the initial wave fronts.

Keywords

Cite

@article{arxiv.1804.06123,
  title  = {Focal surfaces of wave fronts in the Euclidean 3-space},
  author = {Keisuke Teramoto},
  journal= {arXiv preprint arXiv:1804.06123},
  year   = {2020}
}

Comments

12 pages, 2 figures