Riemannian geometry of tangent Lie groups using two left invariant Riemannian metrics

Morteza Hassanvand, Hamid Reza Salimi Moghaddam

In this paper, we consider a Lie group $G$ equipped with two left-invariant Riemannian metrics $g^1$ and $g^2$. Using these two left-invariant Riemannian metrics we define a left-i…