|
|
|
|
shen’s l-process on the chern connection
|
|
|
|
|
|
|
|
نویسنده
|
faghfouri morteza ,jazer nadereh
|
|
منبع
|
journal of finsler geometry and its applications - 2023 - دوره : 4 - شماره : 1 - صفحه:12 -22
|
|
چکیده
|
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.
|
|
کلیدواژه
|
chern connection ,shen connection ,shen’s c and l-processes
|
|
آدرس
|
university of tabrizuniversity of tabriz. tabriz. iran., faculty of mathematical sciences, department of pure mathematics, iran, university of tabriz, faculty of mathematical sciences, department of pure mathematics, iran
|
|
پست الکترونیکی
|
njazer@tabrizu.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|