Special Geometric Objects in Generalized Riemannian Spaces

Abstract

In this paper, we obtained the geometrical objects that are common in different definitions of the generalized Riemannian spaces. These objects are analogies to the Thomas projective parameter and the Weyl projective tensor. After that, we obtained some geometrical objects important for applications in physics.

Keywords

• Riemannian space
• invariant of Thomas type
• invariant of Weyl type
• invariant
• pressure
• energy density