This article is cited in 9 papers

Versal deformations of differential forms of real degree on the real line

V. P. Kostov


Abstract: A normal form is given for families of differential forms of nonzero real degree on the real line (in particular, a normal form for families of vector fields on the line), which depend smoothly on the parameters, in the neighborhood of zeros of the coefficient of the form of finite multiplicity (zeros of finite multiplicity of the field).

UDC: 517,925.41

MSC: Primary 32G99; Secondary 32B30, 58C27

Received: 30.09.1988

 English version: Mathematics of the USSR-Izvestiya, 1991, 37:3, 525–537

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