9 papers
Positive mass and rigidity for asymptotically flat tangent bundles
Sajjad Lakzian
Let be an asymptotically flat manifold such that its tangent bundle is diffeomorphically asymptotically Euclidean. We prove a positive mass theorem and a positive mass…
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 fac…
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…
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…
On weak formulations of (super) Ricci flows
Sajjad Lakzian
We present two characterizations of smooth compact Ricci flow solutions solely in terms of metrics and measures (one of them only works under positive scalar curvature along the fl…
A generalization of the inverse mapping theorem in infinite dimensions
Sajjad Lakzian
We present a generalization of the inverse mapping theorem, where variations of a weaker non-expansiveness property (referred to as property ) replace the key $\mathsf{C}^…