Proves strict real log-concavity of the first eigenfunction of the complex σ₂-Hessian operator on real uniformly strictly convex domains in ℂ^n and derives the corresponding Brunn-Minkowski inequality for its eigenvalue.
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Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue
Proves strict real log-concavity of the first eigenfunction of the complex σ₂-Hessian operator on real uniformly strictly convex domains in ℂ^n and derives the corresponding Brunn-Minkowski inequality for its eigenvalue.