Lagrange mappings of the first open Whitney umbrella

Bogaevski, I. A; Ishikawa, G.

Hokkaido University Preprint Series in Mathematics, 2000, 484, 1-22

Permalink : https://doi.org/10.14943/83630

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アクセス権	open access
DOI	https://doi.org/10.14943/83630
URI	https://hdl.handle.net/2115/69234
タイトル	Lagrange mappings of the first open Whitney umbrella
著者	著者名 Bogaevski, I. A
著者	著者名 Ishikawa, G.
言語	英語
発行日	2000-05-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	484
ページ	1-22
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record