This is a survey article about the recent developments in classifying Randers metrics of scalar flag curvature under an additional condition on the isotropic S-curvature. The authors give an outline of the proof for the classification theorem.
for a given riemannian manifold (m,g),it is an interesting question to study the
existence of a conformal diffemorphism (also called as a conformal transformation)
f : m ! m such that the metric g? = fg has one of the following properties:
(i)(m; g?) has constant scalar curvature.
(ii)(m; g?) is an einstein manifold.
Journal:
:iranian journal of science and technology (sciences)2005
r. aslaner
in this paper, the time-like hyperruled surfaces in the minkowski 4-space and their algebraicinvariants are worked. also some characteristic results are found about these algebraic invariants.
Journal:
:International Journal of Mathematics2023
In this paper, we establish a closer relation between the Berwald scalar curvature and [Formula: see text]-curvature. fact, prove that Finsler metric has isotropic if only it weakly For metrics of flag text]-curvature, they have almost text]-curvature is isotropic.
Journal:
:International Journal of Mathematics and Statistics2023
In this paper, we study the Finsler space with special (α, β)-metric is scalar flag curvature and proved that, if it weakly Berwald only vanishes curvature. Further, found that metric locally Minkowskian.
