Extendibility and boundedness of invariants on singularities of wavefronts
Differential Geometry
2021-07-16 v2
Abstract
We investigate necessary and sufficient conditions for the extendibility and boundedness of Gaussian curvature, Mean curvature and principal curvatures near all types of singularities on fronts. We also study the convergence to infinite limits of these geometrical invariants and show how this is tightly related to a particular property of uniform approximation of fronts by parallel surfaces.
Cite
@article{arxiv.2011.09511,
title = {Extendibility and boundedness of invariants on singularities of wavefronts},
author = {Tito Alexandro Medina Tejeda},
journal= {arXiv preprint arXiv:2011.09511},
year = {2021}
}