Einstein type tensors in the generalized Riemannian space

Abstract

In [22], V.M. Stankovíc introduced generalized Einstein type tensors of the kind θ (θ = 1, 2) in the generalized Riemannian space, and some relations which they satisfy are obtained using the first and the second kind of covariant derivative. In the present paper, generalized Einstein type tensors of the kind θ (θ = 3, 4) are introduced. Also, some relations which Einstein type tensors of the kind θ (θ = 1, 2, 3, 4) were found using all four kinds of covariant derivative.

Mathematics Subject Classification (2010):

• Primary: 53B05
• Secondary: 53B20
• 53C15

Key words:

• Generalized Riemannian spaces
• Einstein type tensors
• curvature tensor
• covariant derivative