On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric

Authors

  • A. Tayebiii
  • E. Peyghani
Abstract:

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 .

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Journal title

volume 41  issue 2

pages  65- 69

publication date 2009-11-01

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