Facta Universitatis, Series: Mathematics and Informatics
•01 Apr 2024
Some new identities for the second covariant derivative of the curvature tensor
Maksimović, Miroslav • Stanković, Mića
Abstract
In this paper, we have studied the second covariant derivative of Riemannian curvature tensor. Some new identities for the second covariant derivative have been given. Namely, identities obtained by cyclic sum with respect to three indices have been given. In the rst case, two curvature tensor indices and one covariant derivative index participate in the cyclic sum, while in the second case one curvature tensor index and two covariant derivative indices participate in the cyclic sum.
Funding
The authors were supported by the research project 174025 and 174012 of the Serbian Ministry of Science (451-03-68/2020-14/200123 and 451-03-68/2020-14/200124)
Author: Maksimović, Miroslav • Stanković, Mića
Issue: 3
Pages: 519-
528
doi: https://doi.org/10.22190/FUMI200930038M
M kategorija: M24
Vrsta rada:clanak u casopisu
Funding: The authors were supported by the research project 174025 and 174012 of the Serbian Ministry of Science (451-03-68/2020-14/200123 and 451-03-68/2020-14/200124)
Abstract
In this paper, we have studied the second covariant derivative of Riemannian curvature tensor. Some new identities for the second covariant derivative have been given. Namely, identities obtained by cyclic sum with respect to three indices have been given. In the rst case, two curvature tensor indices and one covariant derivative index participate in the cyclic sum, while in the second case one curvature tensor index and two covariant derivative indices participate in the cyclic sum.