Amirkabir University of TechnologyAUT Journal of Modeling and Simulation2588-295341220091101On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized MetricOn Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric656924210.22060/miscj.2009.242ENE.PeyghaniA.TayebiiiJournal Article20140316Let be an n-dimensional Riemannian manifold, and be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation induces an infinitesimal homothetic transformation on . Furthermore, the correspondence gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on onto the Lie algebra of infinitesimal homothetic transformations on , and the kernel of this homomorphism is naturally isomorphic onto the Lie algebra of infinitesimal isometries of .https://miscj.aut.ac.ir/article_242_d586f0656d06ea7368807b15a11c19c2.pdf