On strongly convex indicatrices in Minkowski geometry

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	On strongly convex indicatrices in Minkowski geometry
	Ji, M ; Shen, ZM
	2002-06-01
发表期刊	CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
ISSN	0008-4395
卷号	45 期号:2 页码:232-246
摘要	The geometry of indicatrices is the foundation of Minkowski geometry. A strongly convex indicatrix in a vector space is a strongly convex hypersurface. It admits a Riemannian metric and has a distinguished invariant-(Cartan) torsion. We prove the existence of non-trivial strongly convex indicatrices with vanishing mean torsion and discuss the relationship between the mean torsion and the Riemannian curvature tensor for indicatrices of Randers type.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000175645000009
出版者	CANADIAN MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17406
专题	中国科学院数学与系统科学研究院
作者单位	1.Acad Sinica, Inst Math, Beijing 100086, Peoples R China 2.Univ Sci & Technol China, Beijing 100086, Peoples R China 3.Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
推荐引用方式 GB/T 7714	Ji, M,Shen, ZM. On strongly convex indicatrices in Minkowski geometry[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES,2002,45(2):232-246.
APA	Ji, M,&Shen, ZM.(2002).On strongly convex indicatrices in Minkowski geometry.CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES,45(2),232-246.
MLA	Ji, M,et al."On strongly convex indicatrices in Minkowski geometry".CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 45.2(2002):232-246.