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- W4306179826 abstract "In this paper we present a class of Riemannian equilateral triangles ΔABC of the Cartan-Hadamard Riemannian manifold of N×N positive definite matrices of determinant 1 whose Karcher mean of vertices is of the formΛ(A,B,C)=A+B+Cdet(A+B+C)N. The obtained class of triples (A,B,C) forms an analytic manifold with an analytic parameterization over SL(N,C)±×R. The determinantal identity det(A+B+C)=det(A−1+B−1+C−1) and an extended arithmetic-Karcher-harmonic mean inequalities is derived for such triples." @default.
- W4306179826 created "2022-10-14" @default.
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- W4306179826 date "2023-01-01" @default.
- W4306179826 modified "2023-10-17" @default.
- W4306179826 title "The Karcher mean of equilateral triangles" @default.
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- W4306179826 doi "https://doi.org/10.1016/j.laa.2022.10.014" @default.
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