Generic distance-squared mappings on plane curves
Differential Geometry
2018-01-08 v1
Abstract
A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. Moreover, distance-squared mappings are naturally extended mappings of distance-squared functions, wherein each component is a distance-squared function. In this paper, compositions of a given plane curve and generic distance-squared mappings on the plane into the plane are investigated from the viewpoint of stability.
Keywords
Cite
@article{arxiv.1801.01292,
title = {Generic distance-squared mappings on plane curves},
author = {Shunsuke Ichiki},
journal= {arXiv preprint arXiv:1801.01292},
year = {2018}
}
Comments
10 pages