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 show that after forming a connected sum with homotopy sphere, all (2j-1)-connected 2j-parallelisable manifolds in dimension 4j+1, j > 0, can be equipped Riemannian metrics of 2-positive Ricci curvature. The condition curvature is defined to mean the two smallest eigenvalues tensor positive at every point. This result counterpart previous authors concerning existence on highly dimensions 4j-1...

This paper presents a method to compute curvatures of a surface patch S obtained from a degenerate representation defined over a rectangular domain. To compute curvatures at a point 4 in S where the surface representation is degenerate one has to assume that the point sef S has a tangent plane and well defined curvatures at the point 4 where the curvatures are to be computed. Our computation me...

This paper presents an accelerated composite gradient (ACG) variant, referred to as the AC-ACG method, for solving nonconvex smooth minimization problems. As opposed well-known ACG variants that are based on either a known Lipschitz constant or sequence of maximum observed curvatures, current one is average all past curvatures. More specifically, uses positive multiple curvatures until previous...