On Riemannian and Ricci curvatures of Ingarden-Támassy metrics

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 = ۰, sij|k = ۰. Then we show that a Ingarden-Támassy metric is Ricci-reversible if and only if si = ۰.

کلیدواژه ها:

Ingarden-Támassy metric ، Riemannian curvature ، Ricci curvature