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A classification of conformal vector fields on the tangent bundle

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UDC 514.7 Let $(M,g)$ be a Riemannian manifold and $TM$ be its tangent bundle equipped with a Riemannian (or pseudo-Riemannian) lift metric derived from $g.$ We give a classification of infinitesimal… Click to show full abstract

UDC 514.7 Let $(M,g)$ be a Riemannian manifold and $TM$ be its tangent bundle equipped with a Riemannian (or pseudo-Riemannian) lift metric derived from $g.$ We give a classification of infinitesimal fibre-preserving conformal transformations on the tangent bundle.

Keywords: classification; fields tangent; tangent bundle; classification conformal; vector fields; conformal vector

Journal Title: Ukrainian Mathematical Journal
Year Published: 2020

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