In this paper, we study the class of cubic (\alpha, \beta)-metrics. We show that every weakly Landsberg \beta)-metric has vanishing S-curvature. Using it, prove is a metric if and only it Berwald metric. This yields an extension Matsumoto's result for

We study the new warped metric proposed by P. Marcal and Z. Shen. obtain differential equation of such metrics with vanishing Douglas curvature. By solving this equation, we all product metrics. show that Landsberg Berwald are equivalent. classify Ricci-flat Examples included.

The curvature characteristics of particular classes Finsler spaces, such as homogeneous are one the major issues in geometry. In this paper, we have obtained expression for S-curvature space with a generalized Matsumoto metric and demonstrated that isotropic has to vanish S-curvature. We also derived mean Berwald by using formula

We present a study of optically-selected Type II AGN at 0.5 < z 0.9 from the VIPERS and VVDS surveys, to investigate connection between activity physical properties their host galaxies. The stellar mass is estimated through spectral energy distribution fitting with CIGALE code, star formation rates are derived [OII]$\lambda$3727 $\r{A}$ line luminosity. find that 49% galaxies on or above main s...

In this paper, we obtain extensions of majorization type results and extensions of weighted Favard’s and Berwald’s inequality. We prove positive semi-definiteness of matrices generated by differences deduced from majorization type results and differences deduced from weighted Favard’s and Berwald’s inequality. This implies a surprising property of exponentially convexity and log-convexity of th...