LINES OF CURVATURE NEAR SINGULAR POINTS OF IMPLICIT SURFACES

被引:0
|
作者
GARCIA, R [1 ]
SOTOMAYOR, J [1 ]
机构
[1] INST MATEMATICA PURA & APLICADA,BR-22460 RIO JANEIRO,BRAZIL
来源
BULLETIN DES SCIENCES MATHEMATIQUES | 1993年 / 117卷 / 03期
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The structure of lines of principal curvature near a quadratically non-degenerate singular point of a surface defined implicitly in Euclidean 3-space, is established in this paper. To this end an essential additional hypothesis, which nevertheless is generic, concerning simultaneously the quadratic and cubic terms at the singular point is imposed on the defining implicit function.
引用
收藏
页码:313 / 331
页数:19
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