Finsler warped product metrics with isotropic $ E $-curvature

Benling Li; Ke Xu; Benling Li; Ke Xu

doi:10.3934/math.20251104

AIMS Mathematics

2025, Volume 10, Issue 10: 24958-24970. doi: 10.3934/math.20251104

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Finsler warped product metrics with isotropic $ E $-curvature

Benling Li ^,,
Ke Xu

School of Mathematics and Statistics, Ningbo University, Ningbo, Zhejiang 315211, China

Received: 25 June 2025 Revised: 12 September 2025 Accepted: 17 October 2025 Published: 30 October 2025
MSC : 53B40, 53C60

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.
- Finsler warped product metric,
- $ E $-curvature,
- $ S $-curvature,
- ($ \alpha $, $ \beta $) -metric
Citation: Benling Li, Ke Xu. Finsler warped product metrics with isotropic $ E $-curvature[J]. AIMS Mathematics, 2025, 10(10): 24958-24970. doi: 10.3934/math.20251104

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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.

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