About horizontally vector lifts of tensor fields from the base to its tangent bundle :: IKBFU's united scientific journal editorial office

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There are no complicated sciences, there are only complicated interpretations
Alexader Herzen

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About horizontally vector lifts of tensor fields from the base to its tangent bundle

Author Sultanova G.
Pages 80-89
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Keywords smooth manifold, the tangent bundle, lifts of tensor fields, tensor field, commutator of vector fields
Abstract (summary) The vector field of the type  , obtained fr om the tensor field   on a smooth manifold M to the tangent bundle  , arises in the study of infinitesimal affine transformations with a complete lift. The H-lift was introduced S. Tanno in 1974 in infinitesimal isometries on the tangent bundle with the complete lift. The definition of H’-lift given by the author in this paper. There are established the properties of the entered lift and founded the commutator  , wh ere  .
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