New Pogorelov-type C^2 estimates and rigidity theorems are proved for (k-1)-convex semi-convex solutions of the elliptic and parabolic sum Hessian equations.
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The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions
New Pogorelov-type C^2 estimates and rigidity theorems are proved for (k-1)-convex semi-convex solutions of the elliptic and parabolic sum Hessian equations.