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arXiv · 0708.0465

On the total curvatures of a tame function

V. Grandjean
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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.

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V. Grandjean. 2007-08-03. On the total curvatures of a tame function. https://doi.org/10.1007/s00574-008-0002-8

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