On Riemannian and Ricci curvatures of Ingarden-Támassy metrics

Document Type : Original Article

Author

Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.

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