In this paper, we consider the weakly orthogonally invariant Finsler metrics, and we obtain their Douglas curvature. Furthermore, we derive the system of differential equations for weakly orthogonally invariant Finsler metrics with vanishing Douglas curvature. Many examples are included.
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Open Access
Research Article
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AIMS Mathematics 2026, 11(4): 9146-9165
Published: 02 April 2026
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