On the total curvatures of a tame function
Differential Geometry
2011-03-04 v2 Logic
Abstract
Given a definable function f, enough differentiable, we study the continuity of the total curvature function t --> K(t), total curvature of the level {f=t}, and the total absolute curvature function t-->|K| (t), total absolute curvature of the level {f=t}. We show they admits at most finitely many discontinuities.
Keywords
Cite
@article{arxiv.0708.0465,
title = {On the total curvatures of a tame function},
author = {V. Grandjean},
journal= {arXiv preprint arXiv:0708.0465},
year = {2011}
}