Linear systems of real quadratic forms. II

Eugenio Calabi
1982 Proceedings of the American Mathematical Society  
Consider a mapping F: R" -» R3 (n > 3) defined by an ordered triple of real-valued quadratic forms; if some linear combination of these three quadratic forms is positive definite, then the image set under the map is a convex cone.
doi:10.1090/s0002-9939-1982-0640224-0 fatcat:3qcao4lf5rchhlpa7nbyhtnjke