On the local stability of differential forms

Autor:	David Tischler, Martin Golubitsky
Rok vydání:	1976
Předmět:	Singularity Differential form Applied Mathematics General Mathematics Mathematical analysis Type (model theory) Stability (probability) Differential (mathematics) Mathematics
Zdroj:	Transactions of the American Mathematical Society. 223:205-221
ISSN:	1088-6850 0002-9947
DOI:	10.1090/s0002-9947-1976-0431243-x
Popis:	In this paper we determine which germs of differential s-forms on an n-manifold are stable (in the sense of Martinet). We show that when s ≠ 1 s \ne 1 or when s = 1 s = 1 and n ⩽ 4 n \leqslant 4 Martinet had found almost all of the possible examples. The most interesting result states that for certain generic singularities of 1-forms on 4-manifolds an infinite dimensional moduli space occurs in the classification of the 1-forms with this given singularity type up to equivalence by pull-back via a diffeomorphism.
Databáze:	OpenAIRE
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