On Infinitesimal Conformal Transformations of the Tangent Bundles with the Synectic Lift of a Riemannian Metric

Proceedings Mathematical Sciences

Aydin Gezer¹ 

[1] Department of Mathematics, Faculty of Science and Arts, Ataturk University, 0, Erzurum, Turkey$$

关键词: Fibre-preserving vector fields;    infinitesimal projective transformations;    Riemannian metric;    synectic lift.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The purpose of the present article is to investigate some relations between the Lie algebra of the infinitesimal fibre-preserving conformal transformations of the tangent bundle of a Riemannian manifold with respect to the synectic lift of the metric tensor and the Lie algebra of infinitesimal projective transformations of the Riemannian manifold itself.

【 授权许可】

Unknown