2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117771In this paper we study a Riemanian metric on the tangent bundle $T(M)$ of a Riemannian manifold $M$ which generalizes the Cheeger Gromoll metric and a compatible almost complex structure which together with the metric confers to $T(M)$ a structure of locally conformal almost Kählerian manifold. We found conditions under which $T(M)$ is almost Kählerian, locally conformal Kählerian or Kählerian or when $T(M)$ has constant sectional curvature or constant scalar curvature.9 pages. to appear in Proceedings of fifth international symposium BioMathsPhys, Iasi, June 16-17, 2006Differential Geometry53B35; 53C07; 53C25; 53C55text