On quasi-Clifford Osserman curvature tensors | Zendy

Vladica Andrejić | Zendy; Katarina Lukić | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On quasi-Clifford Osserman curvature tensors

Author(s) -

Vladica Andrejić,

Katarina Lukić

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1904241a

Subject(s) - mathematics , riemann curvature tensor , curvature , duality (order theory) , algebraic number , pure mathematics , ricci curvature , mathematical analysis , geometry

We consider pseudo-Riemannian generalizations of Osserman, Clifford, and the duality principle properties for algebraic curvature tensors and investigate relations between them. We introduce quasi-Clifford curvature tensors using a generalized Clifford family and show that they are Osserman. This allows us to discover an Osserman curvature tensor that does not satisfy the duality principle. We give some necessary and some sufficient conditions for the total duality principle.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research