Bettina Kazandjian

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20242026

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math.DG2026

The Lie algebra generated by gradient vector fields

Bettina Kazandjian, Omar Mohsen, Eugenio Pozzoli

Let $M$ be a smooth compact manifold, and $g$ a smooth non-degenerate symmetric bilinear form on $T M$ . We prove that every smooth vector field can be written as a finite linear com…

math.OC2026

Approximate controllability on the group of volume-preserving diffeomorphisms

Andrei Agrachev, Bettina Kazandjian

We study controlability issues for the group of volume-preserving diffeomorphisms of the torus $T^{d}$ for system $x ˙ = f (x) + u (t)$ , where $f$ is a fixed divergence free vec…