Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields
Copyright policy )Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields
In the present paper, we study geodesic mappings of special pseudo-Riemannian manifolds called V n ( K ) -spaces. We prove that the set of solutions of the system of equations of geodesic mappings on V n ( K ) -spaces forms a special Jordan algebra and the set of solutions generated by concircular fields is an ideal of this algebra. We show that pseudo-Riemannian manifolds admitting a concircular field of the basic type form the class of manifolds closed with respect to the geodesic mappings.
- Palacký University Olomouc Czech Republic
- Financial University Russian Federation
- Palacký University, Olomouc Czech Republic
concircular vector field, pseudo-Riemannian manifold, Jordan algebra, Pure mathematics, QA1-939, geodesic mapping, Mathematics
concircular vector field, pseudo-Riemannian manifold, Jordan algebra, Pure mathematics, QA1-939, geodesic mapping, Mathematics
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