EXTENDED NORMAL VECTOR FIELD AND THE WEINGARTEN MAP ON HYPERSURFACES

被引：0
|
作者：
Duduchava, Roland [1 ]
Kapanadze, David [1 ]
机构：
[1] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2008年 / 15卷 / 03期
基金：
美国国家科学基金会;
关键词：
Hypersurface; shape operator; Weingarten map; Gunter's derivative; Gauss's curvature; mean curvature;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a different method for studying the Weingarten map for a hypersurface in the Euclidean space R-n. Applying the Cartesian coordinates of the ambient space and tangential Gunter's derivatives we obtain a simple matrix representation formula for the Weingarten map for implicit hypersurfaces, which can be applied, for example, to calculate the mean and Gauss's curvatures without passing to intrinsic coordinates.
引用
收藏
页码：485 / 500
页数：16
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