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Some properties of Riemannian geometry of the tangent bundle of Lie groups
2019
Journal:  
Turkish Journal of Mathematics
Author:  
Abstract:

We consider a bi-invariant Lie group (G, g) and we equip its tangent bundle TG with the left invariant Riemannian 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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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 710
2023 Impact : 0.039
Details
Turkish Journal of Mathematics