For a C^{1,1} function whose Hessian has uniformly positive or negative determinant almost everywhere, the index of the Hessian is constant almost everywhere, proving Šverák's 1992 conjecture.
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Constancy of the index for gradient mappings
For a C^{1,1} function whose Hessian has uniformly positive or negative determinant almost everywhere, the index of the Hessian is constant almost everywhere, proving Šverák's 1992 conjecture.