3 papers
math.DG2026
On classification of Finslerian spaces with nontrivial concircular transformations
Zohreh Fathi, Sajjad Lakzian
We prove that in a non-trivial conformal circle-preserving transformation (CPT for short), on a (forward or backward) complete Finslerian manifold , the conformal fa…
math.DG2026
On the rigidity of Finslerian conformal circle-preserving transformations
Zohreh Fathi, Sajjad Lakzian
We prove that if a forward or backward complete Berwaldian or reversible Finslerian manifold admits a non-trivial (non-homothety) conformal concircular transformation ({\bf…
math.DG2026
The rigidity of conformal circle-preserving transformations on Berwaldian manifolds
Zohreh Fathi, Sajjad Lakzian
We prove that a complete Berwaldian manifold admitting a nontrivial conformal circle preserving transformation (\cpt for short) must be Riemannian, provided that…