%0 Journal Article %T On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric %J AUT Journal of Modeling and Simulation %I Amirkabir University of Technology %Z 2588-2953 %A Peyghani, E. %A Tayebiii, A. %D 2009 %\ 11/01/2009 %V 41 %N 2 %P 65-69 %! On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric %K Infinitesimal conformal transformation %K homothetic transformation %K Lagrange metric %K isometry %R 10.22060/miscj.2009.242 %X Let  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 . %U https://miscj.aut.ac.ir/article_242_d586f0656d06ea7368807b15a11c19c2.pdf