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Research Article | Open Access

On weakly orthogonally invariant Finsler metrics with vanishing Douglas curvature

Newton Solórzano1, Dik Lujerio2, Víctor León1( ), Alexis Rodriguez Carranza3
ILACVN - CICN, Universidade Federal da Integração Latino-Americana-UNILA, Itaipu Parquetec, Foz do Iguaçu-PR, 85867-970, Brazil
Departamento Académico de Matemática de la Facultad de Ciencias, Universidad Nacional Santiago Antúnez de Mayolo-UNASAM, Av. Universitaria s/n, Shancayán, distrito de Independencia, Huaraz, Peru
Departamento de Ciencias, Universidad Privada del Norte, UPN, Sede San Isidro, Av. El Ejercito 920, Trujillo, Peru
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Abstract

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.

Keywords

Finsler metricweakly orthogonally invariantwarped productDouglas metric
CLC number: 53B40, 53C60

References

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AIMS Mathematics
Volume 11 Issue 4,
April 2026
Pages 9146-9165
DOI: 10.3934/math.2026377

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Solórzano N, Lujerio D, León V, et al. On weakly orthogonally invariant Finsler metrics with vanishing Douglas curvature. AIMS Mathematics, 2026, 11(4): 9146-9165. https://doi.org/10.3934/math.2026377

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Received: 22 February 2026
Revised: 21 March 2026
Accepted: 30 March 2026
Published: 02 April 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)