Title of article :
Properties On Finsler Σ-Spaces
Author/Authors :
Zolfegharzadeh ، Simin Department of Mathematics - School of Mathematics and Statistics - Islamic Azad University Karaj Branch , Latifi ، Dariush Department of Mathematics - School of Mathematics and Statistics - University of Mohaghegh Ardabili , Toomanian ، Megerdich Department of Mathematics - School of Mathematics and Statistics - Islamic Azad University Karaj Branch
Abstract :
Finsler -spaces are studied in this paper. We show that any G-invariant Finsler structure F on a -triple (G, H, ) makes it a Finsler -space. We prove that for a Finsler -space of scalar flag curvature, if the S-curvature is almost isotropic, then F has constant flag curvature. Then, we prove that a locally projectively flat Finsler -space with almost isotropic S-curvature and K = 0 is Riemannian
Keywords :
$\Sigma$ , space , Generalized symmetric space , Finsler metric , Flag curvature , S , curvature , Projectively flat ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
