Special Almost Geodesic Mappings of the Second Type Between Generalized Riemannian Spaces

On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces

“…Some physical characteristics of conformal mappings were given in [5]. Geodesic mappings and their generalizations is an active research field, see for instance [6][7][8][9][10][11][12][13][14][15]. Some conformal and projective invariants of Riemannnian manifolds were obtained by Reference [16,17].…”

“…ic ij are the scalar curvatures of metrics g and g, respectively.From (9),(11) and(12) it follows that the tensors C θ (x, y)z, θ = 1, . .…”

On almost geodesic mappings of the second type between manifolds with non-symmetric linear connection

“…Sobchuk, Mikeš and Pokorná [23] studied special almost geodesic mappings of the second type between semi-symmetric Riemannian spaces. In the same manner special almost geodesic mappings of the second type of the first and second kind are considered between generalized Riemannian spaces in [19]. The aim of this paper is to consider these mappings between manifolds with non-symmetric linear connection.…”

“…studied in the case of generalized Riemannian spaces [19]. Basic equations of mappings π θ 2 (e, ∇F), e = ±1, θ ∈ {1, 2} are given by [19]…”

Conformal Equitorsion and Concircular Transformations in a Generalized Riemannian Space

“…Investigation of various kinds of mappings in the settings of generalized Riemannian spaces is an active research topic, numerous results were obtained in the recent years; see, for instance [20][21][22]. Very recently, conformal and concircular diffeomorphisms of generalized Riemannian spaces have been studied by M. Z Petrović, M. S. Stanković and P. Peška [23].…”