Minkowski geometry

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The geometry of a finite-dimensional normed space, that is, an affine space with a Minkowski metric — a metric invariant under parallel translation — in which the role of the unit sphere is played by a given centrally-symmetric convex body.


Note that the geometry of special relativity theory (cf. Space-time), which is not of this type, is also called Minkowski geometry.


[a1] R.V. Benson, "Euclidean geometry and convexity" , McGraw-Hill (1966) pp. Chapt. 6
How to Cite This Entry:
Minkowski geometry. V.A. Zalgaller (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098