A characteristic extremal property of simplices

Rolf Schneider
1973 Proceedings of the American Mathematical Society  
Among all ¿-dimensional convex bodies the simplices are characterized by the property that the volume of every circumscribed cylinder is not less than d times the volume of the body itself.
doi:10.1090/s0002-9939-1973-0322687-8 fatcat:dkmcoue23zfyphbfshmhi34hkm