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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:
DateEvent
1991UNSPECIFIED
Volume: 1463
Number of Pages: 27
Page Range: pp. 193-219
Publication Status: Published

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