activity
20192026
most citedTime optimal control in presence of moving obstacles for a Dubins airplane

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 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 fac…

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…

math.DG2023

On Rigidity of ALE vector bundles

Fatemeh Asadi, Zohreh Fathi, Sajjad Lakzian

We discuss topological rigidity of vector bundles with asymptotically conical (AC) total spaces of rank greater than 1 with a sufficiently connected link; our focus will mainly be…

math.MG2022

Discrete Ollivier-Ricci curvature

Zohreh Fathi, Sajjad Lakzian

We analyze both continuous and discrete-time Ollivier-Ricci curvatures of locally-finite weighted graphs $\G$ equipped with a given distance "$\dist$" (w.r.t. which $\G$ is metrica…

math.DG2019

Bakry-Émery Ricci curvature of doubly warped product of weighted spaces

Zohreh Fathi, Sajjad Lakzian

We introduce a notion of doubly warped product of weighted graphs that is consistent with the doubly warped product in the Riemannian setting. We establish various discrete Bakry-É…

math.OC2019★ 1 cited

Time optimal control in presence of moving obstacles for a Dubins airplane

Z. Fathi, B. Bidabad, M. Najafpour

In the present work, control of time-optimal trajectory for a Dubins airplane in presence of moving and fixed obstacles is obtained. We show that for a Dubins airplane with an init…