Notes on product semi-symmetric connection in a locally decomposable Riemannian space
Maksimović, Miroslav • Stanković, Mića
Funding
The authors were supported by the research projects 174025 and 174012 of the Ministry of Education, Science and Technological Development, Republic of Serbia. (451-03-68/2020-14/200123)
Abstract
The purpose of this paper is to investigate the product semisymmetric connection in a locally decomposable Riemannian space. The curvature tensors of this connection were considered. Some properties of almost product structure, some properties of torsion tensor of product semisymmetric connection and some relations between curvature tensors and almost product structure are given. Also, the paper checks a special case of such connection when its generator is a gradient vector.