The behavior of the principal distributions around an isolated umbilical point

Authors
Ando, N
Citation
N. Ando, The behavior of the principal distributions around an isolated umbilical point, J MATH JPN, 53(1), 2001, pp. 237-260
Citations number
2
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
ISSN journal
00255645 → ACNP
Volume
53
Issue
1
Year of publication
2001
Pages
237 - 260
Database
ISI
SICI code
0025-5645(200101)53:1<237:TBOTPD>2.0.ZU;2-O
Abstract
Let f be a homogeneous polynomial in two variables such that on its graph G (f), the origin o = (0,0.0) of R-3 is an isolated umbilical point. In this paper, the behavior of the principal distributions around o is studied in r elation to the existence of other umbilical points than o and the behavior of the gradient vector field of f.