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Deformations of functions without real critical points


Luengo Velasco, Ignacio and González Ramírez, Jorge A. (2003) Deformations of functions without real critical points. Communications in Algebra, 31 (9). pp. 4255-4266. ISSN 0092-7872

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Given a real analytic function f(x, y) with one critical point P-0, we Study deformations f(1) of f such that, for any t not equal 0, the analytic function f(t) has no critical points in a neighborhood of P-0. We give explicitly a deformation without real critical points for any function which has only one real branch with characteristic exponents (4, 2q, r).

Item Type:Article
Uncontrolled Keywords:Singularities; Real analytic function; One critical point; Deformation
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:16708

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