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.

引用

页码：975 / 984

页数：10

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