A dimension-two a priori second-order estimate for Hessian quotient equations is claimed via a new test function, but the final contradiction does not actually constrain the largest Hessian eigenvalue.
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Remarks on Hessian quotient equations on Riemannian manifolds
A dimension-two a priori second-order estimate for Hessian quotient equations is claimed via a new test function, but the final contradiction does not actually constrain the largest Hessian eigenvalue.