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

doi:10.1016/j.cagd.2006.11.003

CSpace

	Curvature computations for n-manifolds in Rn+m and solution to an open problem proposed by R. Goldman
	Zhang, Qin ; Xu, Guoliang
	2007-02-01
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	24 期号:2 页码:117-123
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.
关键词	curvature formulas implicit surfaces co-dimension
DOI	10.1016/j.cagd.2006.11.003
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000244286600006
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5129
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Guoliang
作者单位	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
推荐引用方式 GB/T 7714	Zhang, Qin,Xu, Guoliang. Curvature computations for n-manifolds in Rn+m and solution to an open problem proposed by R. Goldman[J]. COMPUTER AIDED GEOMETRIC DESIGN,2007,24(2):117-123.
APA	Zhang, Qin,&Xu, Guoliang.(2007).Curvature computations for n-manifolds in Rn+m and solution to an open problem proposed by R. Goldman.COMPUTER AIDED GEOMETRIC DESIGN,24(2),117-123.
MLA	Zhang, Qin,et al."Curvature computations for n-manifolds in Rn+m and solution to an open problem proposed by R. Goldman".COMPUTER AIDED GEOMETRIC DESIGN 24.2(2007):117-123.