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Dergiler / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 1

On Homogeneous Randers Metrics

Akbar SADIGHI
Megerdich TOOMANIAN
Behzad NAJAFI
Sayfa
217–225
Yayın Tarihi
2022-10-18
DOI
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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

🎯
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:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Homogeneous metric · Homogeneous metric · Ricci tensor

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. (2022). On Homogeneous Randers Metrics. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 1, 217–225. https://ajindex.com/articles/539562

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Kaynakça (21)

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