On strongly convex indicatrices in Minkowski geometry

	On strongly convex indicatrices in Minkowski geometry
	Ji, M ; Shen, ZM
刊名	CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
	2002-06-01
卷号	45 期号:2 页码:232-246
ISSN号	0008-4395
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	CANADIAN MATHEMATICAL SOC
WOS记录号	WOS:000175645000009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/17405]
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.