field of convex geometry, the Busemann–Petty problem, introduced by Herbert Busemann and Clinton Myers Petty (1956, problem 1), asks whether it is true...

differential geometry, Springer 1970. Blaschke–Busemann measure Busemann function Busemann–Petty problem Busemann G-space Geodesic bicombing LA Times, 1985...

Busemann–Petty problem. Zhang published two papers in the Annals of Mathematics in 1994 and 1999, in the first of which he proved that the Busemann–Petty...

proved to be extremals. He obtained a positive solution for the Busemann–Petty problem in R 4 {\displaystyle R^{4}} . He is known for his contributions...

and the notion of projection bodies of convex bodies. Busemann–Petty problem Shephard 1964. Petty 1967. Schneider 1967. Gardner, Richard J. (2002). "The...

bodies for n=4 but are not intersection bodies for n ≥ 5. Busemann–Petty problem Shephard's problem Bourgain, Jean; Lindenstrauss, J. (1988), "Projection...

He constructed a counterexample to a conjecture related to the Busemann–Petty problem. In the geometry of numbers, the Rogers bound is a bound for dense...

of intersection body and his contribution to the solution of the Busemann–Petty problem, for proving the long-conjectured upper-semicontinuity of affine...

on the block. The two-race ban punishment was seen by many observers as petty and insignificant, and that it was a result of Benetton feud with the FIA...