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Projectively flat Finsler metrics with orthogonal invariance

Libing Huang, Xiaohuan Mo (2013)

Annales Polonici Mathematici

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.

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