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arXiv · 2011.09511

Extendibility and boundedness of invariants on singularities of wavefronts

Tito Alexandro Medina Tejeda
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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.

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Tito Alexandro Medina Tejeda. 2020-11-18. Extendibility and boundedness of invariants on singularities of wavefronts. https://arxiv.org/abs/2011.09511

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