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Research Article | Open Access

Finsler warped product metrics with isotropic E-curvature

Benling Li( ), Ke Xu
School of Mathematics and Statistics, Ningbo University, Ningbo, Zhejiang 315211, China
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Abstract

The E-curvature is one of the most important non-Riemannian quantities in Finsler geometry. In this paper, we study Finsler warped product metrics with isotropic E-curvature and constant E-curvature. The equations that characterize Finsler warped product metrics of the above E-curvature are given. Moreover, some specific metrics with isotropic E-curvature are constructed.

Keywords

Finsler warped product metricE-curvatureS-curvature(α, β) -metric
CLC number: 53B40, 53C60

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AIMS Mathematics
Volume 10 Issue 10,
October 2025
Pages 24958-24970
DOI: 10.3934/math.20251104

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Cite this article:
Li B, Xu K. Finsler warped product metrics with isotropic E-curvature. AIMS Mathematics, 2025, 10(10): 24958-24970. https://doi.org/10.3934/math.20251104

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Received: 25 June 2025
Revised: 12 September 2025
Accepted: 17 October 2025
Published: 30 October 2025
©2025 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)