Reduced bodies in Minkowski space

被引:18
作者
Lassak, M [1 ]
Martini, H
机构
[1] Univ Technol, PL-85796 Bydgoszcz, Poland
[2] Univ Technol Chemnitz, Fac Math, D-09107 Chemnitz, Germany
关键词
body of constant width; complete body; Minkowski space; normed linear space; reduced body;
D O I
10.1007/s10474-005-0002-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A convex body in E-d which does not properly contain a convex body of the same minimal width is said to be a reduced body. We extend this notion and some of its properties to Minkowski space.
引用
收藏
页码:17 / 26
页数:10
相关论文
共 20 条
[11]   On the smallest disk containing a planar reduced convex body [J].
Lassak, M .
ARCHIV DER MATHEMATIK, 2003, 80 (05) :553-560
[12]   REDUCED CONVEX-BODIES IN THE PLANE [J].
LASSAK, M .
ISRAEL JOURNAL OF MATHEMATICS, 1990, 70 (03) :365-379
[13]  
MAKAI E, 1990, GEOMETRIAE DEDICATA, V34, P199
[14]   The geometry of Minkowski spaces - A survey. Part II [J].
Martini, H ;
Swanepoel, KJ .
EXPOSITIONES MATHEMATICAE, 2004, 22 (02) :93-144
[15]  
Martini H, 2004, PUBL MATH-DEBRECEN, V64, P101
[16]   Tetrahedra are not reduced [J].
Martini, H ;
Wenzel, W .
APPLIED MATHEMATICS LETTERS, 2002, 15 (07) :881-884
[17]  
Martini H., 2001, Expo. Math., V19, P97, DOI [DOI 10.1016/S0723-0869(01)80025-6, 10.1016/S0723-0869(01)80025-6]
[19]  
Thompson A. C., 1996, MINKOWSKI GEOMETRY
[20]  
[No title captured]