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.
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页码：485 / 500
页数：16
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