Martini, Horst, Swanepoel, Konrad 
ORCID: 0000-0002-1668-887X and Weiss, Gunter
(2001)
The geometry of Minkowski spaces - a survey. Part I.
Expositiones Mathematicae, 19 (2).
pp. 97-142.
ISSN 0723-0869
Abstract
We survey elementary results in Minkowski spaces (i.e. finite dimensional Banach spaces) that deserve to be collected together, and give simple proofs for some of them. We place special emphasis on planar results. Many of these results have often been rediscovered as lemmas to other results. In Part I we cover the following topics: The triangle inequality and consequences such as the monotonicity lemma, geometric characterizations of strict convexity, normality (Birkhoff orthogonality), conjugate diameters and Radon curves, equilateral triangles and the affine regular hexagon construction, equilateral sets, circles: intersection, circumscribed, characterizations, circumference and area, inscribed equilateral polygons.
| Item Type: | Article |
|---|---|
| Official URL: | http://shop.elsevier.de/expomath |
| Additional Information: | © 2004 Elsevier |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 09 Oct 2009 09:55 |
| Last Modified: | 13 Sep 2024 21:26 |
| URI: | http://eprints.lse.ac.uk/id/eprint/25401 |
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