On Riemannian and Ricci curvatures of Ingarden-Tamassy metrics

Author(s):

Neda Izadian *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we study reversibility of Riemann Curvature and Ricci curvature for the Ingarden-Támassy metric and prove two global results. First, we prove that a Ingarden-Támassy metric is R-reversible if and only if si = 0, sij|k = 0. Then we show that a Ingarden-Támassy metric is Ricci-reversible if and only if si = 0.

Keywords:

Ingarden-Tamassy metric , Riemannian curvature , Ricci curva-ture

Language:
English
Published:
Journal of Finsler Geometry and its Applications, Volume:4 Issue: 2, Dec 2023
Pages:
128 to 150
https://www.magiran.com/p2677361