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.
Decomposable Riemannian space, product semisymmetric connection, torsion tensor
MAKSIMOVIC, MIROSLAV and STANKOVIC, MICA
"Notes on product semisymmetric connection in a locally decomposable Riemannian space,"
Turkish Journal of Mathematics: Vol. 45:
1, Article 6.
Available at: https://journals.tubitak.gov.tr/math/vol45/iss1/6