This paper shows the relationship between geometric objects in anisotropic conformal transformations, suggesting necessary conditions for various surface types.
Key Points
Necessary conditions for a Riemannian surface's anisotropic conformal transformation to Berwald or Landsberg surfaces are established.
Conditions for a two-dimensional pseudo-Berwald metric to be Riemann metrizable by a pseudo-Riemannian metric are determined.
An example highlights a conformal transformation of a Riemannian metric that is Berwaldian but not geodesically equivalent.
Conditions for preserving the T-condition under anisotropic conformal change are identified.