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Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 14 Issue: 1

On Homogeneous Randers Metrics

Akbar Sadighi(Islamic Azad University, Karaj, Iran)0000-0002-9992-2958
Megerdich Toomanian(Islamic Azad University, Karaj, Iran)0000-0003-1263-2120
Behzad Najafi(Amirkabir university)0000-0003-2788-3360
Sayfa
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Yayın Tarihi
2021-04-15
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This provides an extension of well-known Deng-Hu theorem that proves the same result for a homogeneous Berwald-Randers metric of non-zero flag curvature.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we study the curvature features of the class of homogeneous Randers metrics.
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Temel Bulgular & Veri:For these metrics, we first find a reduction criterion to be a Berwald metric based on a mild restriction on their Ricci tensors.
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Sonuç & Katkı:This provides an extension of well-known Deng-Hu theorem that proves the same result for a homogeneous Berwald-Randers metric of non-zero flag curvature.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Homogeneous metric · Ricci tensor · Randers metric

Abstract

In this paper, we study the curvature features of the class of homogeneous Randers metrics. For these metrics, we first find a reduction criterion to be a Berwald metric based on a mild restriction on their Ricci tensors. Then, we prove that every homogeneous Randers metric with relatively isotropic (or weak) Landsberg curvature must be Riemannian. This provides an extension of well-known Deng-Hu theorem that proves the same result for a homogeneous Berwald-Randers metric of non-zero flag curvature.

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Bu Makaleye Atıf Yap

Sadighi, A., Toomanian, M., Najafi, B. (2021). On Homogeneous Randers Metrics. International Electronic Journal of Geometry, Volume: 14 Issue: 1. https://doi.org/10.36890/iejg.797112

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