On weakly orthogonally invariant Finsler metrics with vanishing Douglas curvature

Newton Solórzano; Dik Lujerio; Víctor León; Alexis Rodriguez Carranza; Newton Solórzano; Dik Lujerio; Víctor León; Alexis Rodriguez Carranza

doi:10.3934/math.2026377

AIMS Mathematics

2026, Volume 11, Issue 4: 9146-9165. doi: 10.3934/math.2026377

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Research article

On weakly orthogonally invariant Finsler metrics with vanishing Douglas curvature

1.
ILACVN - CICN, Universidade Federal da Integração Latino-Americana-UNILA, Itaipu Parquetec, Foz do Iguaçu-PR, 85867-970, Brazil
2.
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
3.
Departamento de Ciencias, Universidad Privada del Norte, UPN, Sede San Isidro, Av. El Ejercito 920, Trujillo, Peru

Received: 22 February 2026 Revised: 21 March 2026 Accepted: 30 March 2026 Published: 02 April 2026
MSC : 53B40, 53C60

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.
- Finsler metric,
- weakly orthogonally invariant,
- warped product,
- Douglas metric
Citation: Newton Solórzano, Dik Lujerio, Víctor León, Alexis Rodriguez Carranza. On weakly orthogonally invariant Finsler metrics with vanishing Douglas curvature[J]. AIMS Mathematics, 2026, 11(4): 9146-9165. doi: 10.3934/math.2026377

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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.

References

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