Turhan, Essin; Catalbas, Necdet The left invariant metrics which is defined on Heisenberg group. (English) Zbl 1136.53320 Int. Math. Forum 1, No. 37-40, 1887-1892 (2006). Some curvatures are computed by left invariant metrics. An important role is played by the Heisenberg manifold. The curvatures are calculated from various vector fields. MSC: 53C30 Differential geometry of homogeneous manifolds 53B21 Methods of local Riemannian geometry 70H03 Lagrange’s equations Keywords:curvature; geodesics; left invariant metric PDFBibTeX XMLCite \textit{E. Turhan} and \textit{N. Catalbas}, Int. Math. Forum 1, No. 37--40, 1887--1892 (2006; Zbl 1136.53320) Full Text: DOI