Distance preservers for Lobachevsky space
Alexander Belton, Dominique Guillot, Apoorva Khare, Mihai Putinar
Abstract
We obtain a complete description of the class of entrywise preservers of Lorentz-Gram matrices. This resolves, for the case of constant negative curvature, the classification of entrywise preservers obtained by Schoenberg in the zero-curvature (Euclidean) and constant-positive-curvature (spherical) settings.
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