Conformal curvature tensors in a generalized Riemannian space in Eisenhart sense

Applicable Analysis and Discrete Mathematics

article

Ana Velimirovic¹ 

[1] Faculty of Sciences and Mathematics, University of Niˇs

关键词: Non-symmetric affine connection;    generalized Riemannian space;    independent curvature tensor;    conformal transformation;    invariants;   

DOI  :  10.2298/AADM200206034V

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In the present paper generalizations of conformal curvature tensor from Riemannian space are given for five independent curvature tensors in generalizedRiemannian space (GRN ), i.e. when the basic tensor is non-symmetric.In earlier works of S. Minˇci´c and M. Zlatanovi´c et al a special case hasbeen investigated, that is the case when in the conformal transformation thetorsion remains invariant (equitorsion transformation). In the present paperthis condition is not supposed and for that reason the results are more generaland new.

【 授权许可】

Unknown