Inequalities for mixed complex projection bodies (Q395627)

Mixed projection bodies are related to ordinary projection bodies in the same way as mixed volumes are related to ordinary volume. Going with such notions from real to complex vector spaces, one gets for example complex mixed projection bodies.NEWLINENEWLINE The authors establish new geometric inequalities for such bodies which are analogues to inequalities for real mixed projection bodies. The equality cases are characteristic for balls (when referring only to one convex body as starting point) or for homothetic copies of each other (when referring to pairs of convex bodies), and also translative pairs occur.