A classification of conformal vector fields on the tangent bundle

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.

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Bibliographic Details
Date:2020
Main Authors: Raei, Zohre, Latifi, Dariush
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6013
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal