Omar Mohsen

works on

bilinear forms 1 gradient vector fields 1 lie algebras 1 smooth manifolds 1 vector fields 1

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math.DG2026

The Lie algebra generated by gradient vector fields

Bettina Kazandjian, Omar Mohsen, Eugenio Pozzoli

The paper shows that on any smooth compact manifold with a non-degenerate symmetric bilinear form, every smooth vector field can be expressed as a finite linear combination of iter…

math.DG2024

Tangent groupoid and tangent cones in sub-Riemannian geometry

Omar Mohsen

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