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The χ-Hessian Quotient for Riemannian Metrics

The χ-Hessian Quotient for Riemannian Metrics

Pseudo-Riemannian geometry and Hilbert–Schmidt norms are two important fields of research in applied mathematics. One of the main goals of this paper will be to find a link between these two research fields. In this respect, in the present paper, we will introduce and analyze two important quantities in pseudo-Riemannian …