On the extreme rays of the cone of $3\times 3$ quasiconvex quadratic forms: Extremal determinats vs extremal and polyconvex forms

Davit Harutyunyan, Narek Hovsepyan

This work is concerned with the study of the extreme rays of the convex cone of $3\times 3$ quasiconvex quadratic forms (denoted by ${\mathcal{C}}_3$). We characterize quadratic forms $…