Total Angle around a Point in Minkowski Plane

被引：2

作者：

Dekster, Boris ^{[1
]}

机构：

[1] Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada

来源：

JOURNAL OF GEOMETRY | 2009年 / 93卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Minkowski geometry; angular measure; total angle around a point;

D O I：

10.1007/s00022-009-1919-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new angular measure in Minkowski plane was introduced recently. It is additive, invariant under invertible linear transformations, and has a clear interpretation as an "amount of rotation" from one direction to another one. The total angle T around a point depends on the unit ball. It is known that 4.443 approximate to root 2 pi <= T <= 8. We show that 4.985 approximate to 4 root 2 ln tan 3 pi/8 <= T <= 8 ln tan 3 pi/8 approximate to 7.051.

引用

页码：38 / 45

页数：8