# Minkowski geometry

From Encyclopedia of Mathematics

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.

#### Comments

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

#### References

[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: http://encyclopediaofmath.org/index.php?title=Minkowski_geometry&oldid=13062

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098