Stable tangential family germs and singularities of their envelopes |
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Authors: | Gianmarco Capitanio |
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Institution: | CEREMADE, université Paris-Dauphine, place du M. De Lattre De Tassigny, 75775 Paris cedex 16, France |
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Abstract: | A tangential family is a system of regular curves emanating tangentially from another regular curve. We classify tangential family germs which are stable under deformations among tangential families and we study singularities of their envelopes. We also discuss some applications of our results to Differential Geometry. To cite this article: G. Capitanio, C. R. Acad. Sci. Paris, Ser. I 341 (2005). |
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