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CLASSIFICATION OF SYMMETRICAL CAUSTICS .1. SYMPLECTIC EQUIVALENCE
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UNSPECIFIED (1991) CLASSIFICATION OF SYMMETRICAL CAUSTICS .1. SYMPLECTIC EQUIVALENCE. LECTURE NOTES IN MATHEMATICS, 1463 . pp. 193-219. ISSN 0075-8434.
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Abstract
We generalise the classification theory of Arnold and Zakalyukin for singularities of Lagrange projections to projections that commute with a symplectic action of a compact Lie group. The theory is applied to the classification of infinitesimally stable corank 1 projections with Z2 symmetry. However examples show that even in very low dimensions there exist generic projections which are not infinitesimally stable.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Journal or Publication Title: | LECTURE NOTES IN MATHEMATICS | ||||
| Publisher: | SPRINGER VERLAG | ||||
| ISSN: | 0075-8434 | ||||
| Official Date: | 1991 | ||||
| Dates: |
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| Volume: | 1463 | ||||
| Number of Pages: | 27 | ||||
| Page Range: | pp. 193-219 | ||||
| Publication Status: | Published |
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