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arXiv · 2607.01350

The rigidity of conformal circle-preserving transformations on Berwaldian manifolds

Zohreh Fathi·Sajjad Lakzian
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Abstract

We prove that a complete Berwaldian manifold $\left(M,F\right)$ admitting a nontrivial conformal circle preserving transformation (\cpt for short) must be Riemannian, provided that it has a dense subset on which no flag curvature vanishes (in particular, if $(M,F)$ has positive or negative flag curvature).

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Zohreh Fathi, Sajjad Lakzian. 2026-07-01. The rigidity of conformal circle-preserving transformations on Berwaldian manifolds. https://arxiv.org/abs/2607.01350

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