Projections of hypersurfaces in $mathbb{R}^{4}$ to planes (Theory of singularities of smooth mappings and around it)
| Autor: | Martins, Luciana de Fátima, Nabarro, Ana Claudia |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
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| Zdroj: | 数理解析研究所講究録別冊. :133-147 |
| ISSN: | 1881-6193 |
| Popis: | The aim of this report is to give the singularities of orthogonal projections of a generic embedded hypersurface M in mathbb{R}^{4} with or without boundary, to a 2-dimensional plane. The singularities occurring at interior points have been classified in [11] (see also [14]), and the singularities occurring at the boundary points have been classified in [10]. For the first case, we need to classify map germs from mathbb{R}^{3} to the plane (mathcal{A}-group), and for the second case we need to classify map germs from mathbb{R}^{3} to the plane with the source containing a distinguished plane which is preserved by coordinate changes (B-subgroup). The singularities of such maps measure, for instance, the contact of M with 2-dimensional planes. "Theory of singularities of smooth mappings and around it". November 25～29, 2013. edited by Takashi Nishimura. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| Databáze: | OpenAIRE |
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