G. Katz

activity

19972025

most citedPolynomial Interpretation of Multipole Vectors

51 citations · 57 across the 28 of their papers we have counts for

collaborators

33 papers

math.DG2025

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

Gabriel Katz

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

math.SG2023

Recovering contact forms from boundary data

Gabriel Katz

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

math.GT2023

On immersions and embeddings with trivial normal line bundles

Gabriel Katz

Let $Z$ be a smooth compact $(n + 1)$ -manifold. We study smooth embeddings and immersions $β : M \to Z$ of compact or closed $n$ -manifolds $M$ such that the normal line bundle $ν^{β}$ i…

math.GT2023

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…

math.GT2023

Algebras of smooth functions and holography of traversing flows

Gabriel Katz

Let $X$ be a smooth compact manifold and $v$ a vector field on $X$ which admits a smooth function $f : X \to R$ such that $df (v) > 0$ . Let $\partial X$ be the boundary of $X…

math.DS2022★ 1 cited

Detecting intrinsic global geometry of an obstacle via layered scattering

Leonid Bunimovich, Gabriel Katz

Given a closed $k$ -dimensional submanifold $K$ , incapsulated in a compact domain $M \subset E^{n}$ , $k \leq n - 2$ , we consider the problem of determining the intrinsic geometr…