On the flat ridges of submanifolds of codimension 2 in Rn

被引：6
|
作者：
Romero-Fuster, MC [1 ]
Sanabria-Codesal, E
机构：
[1] Univ Valencia, Dept Geometria & Topol, E-46003 Valencia, Spain
[2] Univ Politecn Valencia, Dept Matemat Aplicada, Valencia, Spain
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2002年 / 132卷
关键词：
D O I：
10.1017/S0308210500001967
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the concept of flat ridges for submanifolds of codimension 2 from the viewpoint of their contact with hyperplanes. We characterize them geometrically, studying some of their properties. In particular, we see that the highest-order flat ridges coincide with the flattenings of the asymptotic lines and from this we obtain some lower bounds for their numbers under appropriate conditions.
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页码：975 / 984
页数：10
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