Properties of Concircular Curvature Tensors on Riemann Spaces

Iulia Elena Hirică

This paper studies conditions of pseudo-symmetric and semi-symmetric type on geodesic and subgeodesic related Riemann spaces. Properties of concircular transformations of metrics are characterized, using certain concircular-Riemann type flows. Also concircular-Riemann solitons are introduced, as natural extensions of Ricci solitons. Some special gradient concircular-Riemann solitons on Riemannian spaces are considered.