Decomposition of Riemannian Recurrent Curvature Tensor Manifolds of First Order

U. S. Negi, Preeti Chauhan, Sulochana
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Abstract

Takano [6] premeditated decomposition of curvature tensor in a recurrent Riemannian space. After that, Negi and Bisht [3] defined and deliberated decomposition of recurrent curvature tensor fields in a Kaehlerian manifolds of first order. We have calculated the decomposition of Riemannian recurrent curvature tensor manifolds of first order and some theorems established using the decomposition tensor field.
一阶黎曼循环曲率张量流形的分解
Takano[6]在循环黎曼空间中预先考虑了曲率张量的分解。之后,Negi和Bisht[3]定义并研究了一阶Kaehlerian流形中循环曲率张量场的分解。我们计算了黎曼循环曲率张量流形的一阶分解,并利用分解张量场建立了一些定理。
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