English

Distance-squared mappings

Geometric Topology 2013-04-01 v2

Abstract

A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. In this paper, we define naturally extended mappings of distance-squared functions, wherein each component is a distance-squared function. We investigate the properties of these mappings from the viewpoint of differential topology.

Keywords

Cite

@article{arxiv.1211.4966,
  title  = {Distance-squared mappings},
  author = {Shunsuke Ichiki and Takashi Nishimura},
  journal= {arXiv preprint arXiv:1211.4966},
  year   = {2013}
}

Comments

to appear in Topology and its Applications

R2 v1 2026-06-21T22:42:02.641Z