Authors
Citation
F. Sanz, NONOSCILLATING SOLUTIONS OF GRADIENT VECTOR-FIELDS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(4), 1997, pp. 429-432
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
07644442
Volume
325
Issue
4
Year of publication
1997
Pages
429 - 432
Database
ISI
SICI code
0764-4442(1997)325:4<429:NSOGV>2.0.ZU;2-J
Abstract
Let f be a germ of order 2 of an analytic function at the origin in R-
3. Let gamma be a solution of the gradient of f with respect to some a
nalytic Riemannian metric. Then, for ail germs of analytic surface H,
either gamma subset of H, or gamma cuts H finitely many times.