AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (273 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
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
Show Author Information

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

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 11 Issue 4,
April 2026
Pages 9146-9165
DOI: 10.3934/math.2026377

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
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

221

Views

10

Downloads

0

Crossref

0

Web of Science

0

Scopus
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)