2026-04-23T17:56:49Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/681912024-12-03T14:43:54Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

00925njm 22002777a 4500 dc Sanz Sánchez, Fernando author 1998 Let \gamma be an integral solution of an analytic real vector field defined in a neighbordhood of 0\in R3. Suppose that \gamma has a single limit point at 0. We say that \gamma is non oscillating if, for any analytic surface H, either \gamma is contained in H or \gamma cuts H only finitely many times. In this paper we give a sufficient condition for \gamma to be non oscillating. It is established in terms of the existence of “generalized iterated tangents”, i.e. the existence of a single limit point for any transform property for the solutions of a gradient vector field 𝛻g f of an analytic function f of order 2 at 0, where g is an analytic riemannian metric. Annales de l’institut Fourier, tome 48, no 4 (1998), p. 1045-1067 0373-0956 https://uvadoc.uva.es/handle/10324/68191 10.5802/aif.1648 1045 4 1067 Annales de l’institut Fourier 48 Non oscillating solutions of analytic gradient vector fields