Curvature computations for n-manifolds in Rn+m and solution to an open problem proposed by R.!Goldman

被引：3

作者：

Zhang, Qin

Xu, Guoliang ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math, Beijing 100080, Peoples R China

[2] Beijing Informat Sci & Technol Univ, Dept Basic Courses, Beijing 100085, Peoples R China

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2007年 / 24卷 / 02期

基金：

中国国家自然科学基金;

关键词：

curvature formulas; implicit surfaces; co-dimension;

D O I：

10.1016/j.cagd.2006.11.003

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, simple and explicit formulas for computing mean curvature vector and Gauss-Kronecker curvature for n-manifolds in Rn+m are derived. Using these formulas, we solve an open problem, proposed by Ron Goldman, about curvature formulas for implicit surfaces with higher co-dimensions. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：117 / 123

页数：7