G. Katz

collaborators

3 papers

math.SG2026

Recovering contact forms from boundary data

Gabriel Katz

Let $X$ be a compact smooth manifold with boundary. The paper deals with contact $1$ -forms $I^^{2}$ on $X$ , whose Reeb vector fields $v_{I^}^{2}$ admit Lyapunov functions $f$ . We tackle the…

math.DG2026

Contact de Rham cohomology and Hodge structures transversal to the Reeb foliations

Gabriel Katz

Let $I^^{2}$ be a contact form on a compact smooth manifold $X$ and $v_{I^}^{2}$ its Reeb vector field. The paper applies general results of different authors about Hodge structures that are…

math.GT2024

Doodles and blobs on a lined page: convex quasi-envelops of traversing flows on surfaces

Gabriel Katz

Let $A$ denote the cylinder $R \times S^{1}$ or the band $R \times I$ , where $I$ stands for the closed interval. We consider $2$ -{\sf moderate immersions} of closed c…