commutative curvature operators over four-dimensional generalized symmetric spaces

Authors

ali haji-badali

faculty of basic sciences, university of bonab, , p.o.box 5551761167, bonab, iran. masoud dehghan

department of mathematics, faculty of science, university of abcd, p.o.box xxxx, city, country. fereshteh nourmohammadi

faculty of basic sciences, university of bonab, , p.o.box 5551761167, bonab, iran.

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.

Upgrade to premium to download articles

Already have an account?login

similar resources

Commutative curvature operators over four-dimensional generalized symmetric spaces

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.

full text

commutative curvature operators over four-dimensional generalized symmetric

full text

Generalized Symmetric Berwald Spaces

In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian.

full text

Differential operators on equivariant vector bundles over symmetric spaces

Generalizing the algebra of motion-invariant differential operators on a symmetric space we study invariant operators on equivariant vector bundles. We show that the eigenequation is equivalent to the corresponding eigenequation with respect to the larger algebra of all invariant operators. We compute the possible eigencharacters and show that for invariant integral operators the eigencharacter...

full text

Four New Operators over the Generalized Intuitionistic Fuzzy Sets

In this paper, newly defined four level operators over generalized intuitionistic fuzzy sets (GIFSBs) are proposed. Some of the basic properties of the new operators are discussed. Geometric interpretation of operators over generalized intuitionistic fuzzy sets is given.

full text

Four-dimensional generalized difference matrix and some double sequence spaces

In this study, I introduce some new double sequence spaces [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] as the domain of four-dimensional generalized difference matrix [Formula: see text] in the spaces [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], respectively. I show that...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}

Journal title:

sahand communications in mathematical analysis

جلد ۱، شماره ۲، صفحات ۷۷-۹۰

Keywords

commutative manifold pseudo riemannian manifold cyclic parallel locally conformally flat curvature operator

Hosted on Doprax cloud platform doprax.com