Omar Mohsen

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20222026

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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.DG2022

Tangent groupoid and tangent cones in sub-Riemannian geometry

Omar Mohsen

Let $X_{1}, \dots, X_{m}$ be vector fields satisfying Hörmander's Lie bracket generating condition on a smooth manifold $M$ . We generalise Connes's tangent groupoid, by constructing a c…