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

The principle of numerically modeling the surface impedance of a homogeneous transverse magnetic (TM)-type plane wave incident upon an inhomogeneous half-space with inclined uniaxial electrical anisotropy as an equivalent half-space with fundamental electrical biaxial anisotropy is demonstrated. The self-consistent impedance method is introduced and shown to accurately model the surface impedan...

I will give a broad overview of what has become the standard paradigm in cosmology. I will describe the relational (à la Leibnitz) notion of time that is often used in cosmological calculations and discuss how the local nature of Einstein’s equations allows us to translate this notion into statements about ‘initial’ data. Classically this relates our local definition of time to a quasi-local re...

A manifold with a smooth action of a Lie group G is called G-manifold. In this paper we consider a complete Riemannian manifold M with the action of a closed and connected Lie subgroup G of the isometries. The dimension of the orbit space is called the cohomogeneity of the action. Manifolds having actions of cohomogeneity zero are called homogeneous. A classic theorem about Riemannian manifolds...

In this paper, we have dened and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is...