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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 6

Some properties of Riemannian geometry of the tangent bundle of Lie groups

Davood SEIFIPOUR
Esmaeil PEYGHAN
Sayfa
2842–2864
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally,we compute the Szabo operator and Jacobi operator on the tangent Lie group TG.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We consider a bi-invariant Lie group (G, g) and we equip its tangent bundle TG with the left invariantRiemannian metric introduced in the paper of Asgari and Salimi Moghaddam.
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Temel Bulgular & Veri:We investigate Einstein-like, Ricci soliton,and Yamabe soliton structures on TG.
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Sonuç & Katkı:Finally,we compute the Szabo operator and Jacobi operator on the tangent Lie group TG.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

We consider a bi-invariant Lie group (G, g) and we equip its tangent bundle TG with the left invariantRiemannian metric introduced in the paper of Asgari and Salimi Moghaddam. We investigate Einstein-like, Ricci soliton,and Yamabe soliton structures on TG. Then we study some geometrical tensors on TG such as Cotton, Schouten,Weyl, and Bach tensors, and we also compute projective and concircular and m-projective curvatures on TG. Finally,we compute the Szabo operator and Jacobi operator on the tangent Lie group TG.

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Bu Makaleye Atıf Yap

SEIFIPOUR, D., PEYGHAN, E. (2022). Some properties of Riemannian geometry of the tangent bundle of Lie groups. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 6, 2842–2864. https://ajindex.com/articles/607736

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Kaynakça (16)

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