Some notes concerning Riemannian metrics of Cheeger Gromoll type

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Gezer, Aydin¹  Altunbas, Murat² 

[1] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey

[2] Erzincan Univ, Fac Sci & Art, Dept Math, TR-24030 Erzincan, Turkey

关键词: Geodesic;    Killing vector field;    Paraholomorphic tensor field;    Para-Kahler-Norden metric;   

DOI  :  10.1016/j.jmaa.2012.06.011

来源: Elsevier

【 摘 要 】

Let (M, g) be an n-dimensional Riemannian manifold and TM its tangent bundle. The purpose of the present paper is three-fold. Firstly, to study paraholomorphy property of two Riemannian metrics g(a) and g(a,b) of Cheeger Gromoll type depending on one parameter and two parameters by using compatible paracomplex structures J(a) and J(a,b) on the tangent bundle TM. Secondly, to classify Killing vector fields on the tangent bundle TM equipped with the Riemannian metric g(a,b). Finally, to give a detailed description of geodesics on the tangent bundle TM with respect to the Riemannian metric g(a,b). (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free