Brunn–Minkowski theorem
Teorema de Brunn–Minkowski
- Date
- 1887 (Brunn) / 1896 (Minkowski) · confidence high
- Place
- Munich, Bavaria, Germany
- Credited to
- Hermann Brunn y Hermann Minkowski
- Field
- Knowledge & symbols
What was discovered
A geometric inequality relating the volumes (Lebesgue measures) of compact subsets of Euclidean space to the volume of their Minkowski sum; formulated by Hermann Brunn for convex sets in 1887 and generalized by Hermann Minkowski in 1896.
What it led to
- Foundational result in convex geometry
- Connection to the isoperimetric inequality
- Applications in geometric analysis, probability and information theory