Extendibility and boundedness of invariants on singularities of wavefronts

被引：0
|
作者：
T. A. Medina-Tejeda
机构：
[1] Universidade de São Paulo,Instituto de Ciências Matemáticas e de Computação
来源：
Monatshefte für Mathematik | 2024年 / 203卷
关键词：
Singular surface; Frontal; Front; Relative curvature; Primary 53A05; Secondary 53A55;
D O I：
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学科分类号：
摘要：
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 divergence to infinity of these geometrical invariants near singularities and show how this is tightly related to a particular property of uniform approximation of fronts by parallel regular surfaces.
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页码：199 / 221
页数：22
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