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Cholesky-Vinberg and Log-Vinberg means on the Vinberg cone
We study two means on the five-dimensional Vinberg cone $Ω$, viewed as a sparse cone of positive definite $3\times3$ matrices. The Cholesky-Vinberg mean is obtained from the simply transitive solvable group $H$ associated with $Ω$. It is $H$-equivariant, and its interpolation curves are geodesics fo
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