Osculating spaces and higher order curvature tensors of submanifolds in Rme

被引：0

作者：

Trencevski, K ^{[1
]}

机构：

[1] Univ St Cyril & Methudius, Inst Math, Skopje 1000, Macedonia

来源：

PROCEEDINGS OF THE WORKSHOP ON CONTEMPORARY GEOMETRY AND RELATED TOPICS | 2004年

关键词：

osculating spaces; normal curvatures; high order curvature tensors; principal values; principal directions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation of the papers [2, 3, 4, 5] and the results are obtained using the recent paper [1]. In this paper are considered the osculating spaces of a submanifold in R-m of the first, second and higher order. Principal curvatures and directions of higher order are also studied, together with their geometrical interpretations. This construction naturally yields to the higher order curvature tensors of submanifolds of the Euclidean spaces.

引用

页码：407 / 423

页数：17

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