Affiliation:
1. Department of Mathematics, Faculty of Science University of Qom, Qom, Iran
Abstract
AbstractIn this paper, we prove that every non-Riemannian 4-th root metric of isotropic scalar curvature has vanishing scalar curvature. Then, we show that every 4-th root metric of weakly isotropic flag curvature has vanishing scalar curvature. Finally, we find the necessary and sufficient condition under which the conformal change of a 4-th root metric is of isotropic scalar curvature.
Reference48 articles.
1. Ricci and flag curvatures in Finsler geometry;A Sampler of Riemann-Finsler Geometry, MSRI Publications,2004
2. Ricci curvature tensor and non-Riemannian quantities;Canad. Math. Bull.,2015
3. On projectively flat fourth root metrics;Canad. Math. Bull.,2012
4. On Einstein m-th root metrics;Differential Geom. Appl.,2010
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