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Lagrange mappings of the first open Whitney umbrella
| Title: | Lagrange mappings of the first open Whitney umbrella |
| Authors: | Bogaevski, I. A Browse this author | | Ishikawa, G. Browse this author |
| Issue Date: | 1-May-2000 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 484 |
| Start Page: | 1 |
| End Page: | 22 |
| Abstract: | In this paper we give a classification of simple stable singularities of Lagrange projections of the first open Whitney umbrella, the simplest singularity of Lagrange varieties. Our classification extends the ADE-classification, due to Arnold, of simple stable singularities of Lagrange projections of smooth Lagrange submanifolds. For the classification, we also prove a criterion of equivalence of stable Lagrange projections of open Whitney umbrellas which is analogous to Mather's fundamental theorem on stable map-germs. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69234 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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