Fiber-Preserving Conformal Vector Field of Frame Bundles with Natural Riemannian Metric

Memoirs of the Scientific Sections of the Romanian Academy

N. Amri¹  M.T.K. Abbassi¹ 

[1] Département des Mathématiques,, Faculté des Sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdallah, Morocco;

关键词: bundle of all oriented orthonormal frames;    conformal vector field;   

DOI  :  

来源: DOAJ

【 摘 要 】

We consider the bundle of all oriented orthonormal frames over an orientable Remannian manifold. This bundle has a natural Riemannian metric which is defined by the Riemannian connection of the base manifold. The purpose of the present paper is to classify the conformal vector field structure of the frame bundle with natural Riemannian metric.

【 授权许可】

Unknown