Some Hermite metrics in complex Finsler spaces.

Čomić, Irena; Nikić, Jovanka

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We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler metrics we find a PDE equivalent to these metrics being locally projectively flat. After investigating this PDE we manufacture projectively flat Finsler metrics with orthogonal invariance in terms of error functions.