Commutative curvature operators over four-dimensional generalized symmetric
Journal: Sahand Communications in Mathematical Analysis (Vol.1, No. 2)Publication Date: 2014-12-15
Authors : Ali Haji-Badali; Masoud Dehghan; Fereshteh Nourmohammadi;
Page : 77-90
Keywords : Commutative manifold; Pseudo-Riemannian manifold; Cyclic parallel; Locally conformally flat; Curvature operator;
Abstract
Commutative properties of four-dimensional generalized symmetric pseudo-Riemannian manifolds were considered. Specially, in this paper, we studied Skew-Tsankov and Jacobi-Tsankov conditions in 4-dimensional pseudo-Riemannian generalized symmetric manifolds.
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