New Constructions of Landsberg Non-Berwaldian (α, β)-Metrics

Authors

  • Salah Gomaa Elgendi Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, 42351, Saudi Arabia https://orcid.org/0000-0002-5808-6092

DOI:

https://doi.org/10.37256/cm.6620257914

Keywords:

Landsberg metrics, Berwald metrics, (<i>α</i>, <i>β</i>)-metric

Abstract

In this paper, we present new constructions of non-regular Finsler metrics of (α, β)-type that satisfy the Landsberg condition without being Berwaldian. These examples contribute to the ongoing investigation of the Landsberg-Berwald problem by expanding the class of known non-Berwaldian Landsberg spaces. The results offer deeper insight into the geometric structure and richness of such metrics within the framework of Finsler geometry.

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Published

2025-11-06

Issue

Contemporary Mathematics, Volume 6 Issue 6 (2025)

Section

Research Article

License

Copyright (c) 2025 Salah Gomaa Elgendi.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
New Constructions of Landsberg Non-Berwaldian (α, β)-Metrics. Contemp. Math. [Internet]. 2025 Nov. 6 [cited 2025 Dec. 24];6(6):8076-88. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/7914