Title of article
On m-th root metrics of isotropic projective Ricci curvature
Author/Authors
Gabrani ، Mehran Department of Mathematics - Faculty of Science - Urmia University , Rezaei ، Bahman Department of Mathematics - Faculty of Science - Urmia University , Sevim ، Esra Sengelen Department of Mathematics - Istanbul Bilgi University
From page
123
To page
128
Abstract
The Ricci curvature is introduced by spray on Mn. Sprays are deformed to projective sprays with a volume form dV on Mn. The projective Ricci curvature is defined as the expression of Ricci curvature with sprays. With this paper, we use the new notion that is called weakly isotropic projective Ricci curvature. We have introduced the idea of weakly isotropic projective Ricci curvature in [3]. Then we study and characterize m-th root metrics of weakly isotropic projective Ricci curvature. We obtain that every m-th root metric of weakly isotropic projective Ricci curvature is projectively Ricci-flat.
Keywords
Isotropic projective Ricci , curvature , Finsler metric , m , th root metric
Journal title
AUT Journal of Mathematics and Computing
Journal title
AUT Journal of Mathematics and Computing
Record number
2757814
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