Abstract
One of the major outstanding questions in Geometric Convexity is Petty's conjectured inequality between the volume of a convex body and that of its projection body. It is shown that if Petty's conjectured inequality holds, then it is the first of a family of such inequalities (involving mixed projection bodies). All of the members of this family are strengthened versions of the classical inequalities between pairs of Quermassintegrals of a convex body. The last member of this family (of conjectured inequalities) is established.
Original language | English (US) |
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Pages (from-to) | 51-58 |
Number of pages | 8 |
Journal | Geometriae Dedicata |
Volume | 33 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1990 |
ASJC Scopus subject areas
- Geometry and Topology