Shen's L-Process on the Chern Connection
عنوان مقاله: Shen's L-Process on the Chern Connection
شناسه ملی مقاله: JR_JFGA-4-1_002
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_JFGA-4-1_002
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Morteza Faghfouri - Department of Pure Mathematics. Faculty of Mathematical Sciences. University of Tabriz. Tabriz. Iran.
Nadereh Jazer - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
خلاصه مقاله:
Morteza Faghfouri - Department of Pure Mathematics. Faculty of Mathematical Sciences. University of Tabriz. Tabriz. Iran.
Nadereh Jazer - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
The notion of Shen's process was introduced by Tayebi-Najafi in order to construct the Shen connection from the Berwald connection. In this paper, we study the connection obtained by Shen's L-process on the Chern connection. Let (M, F) be a Finsler manifold. Suppose that D is the linear torsion-free connection obtained by Shen's L-process on Chern's connection. First, we show the existence and uniqueness of D. Then, we prove that their hv-curvature coincides if and only if F is a Riemannian metric
کلمات کلیدی: Chern connection, Shen connection, Shen's C and L-Processes
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1814503/