Vincent Borrelli

collaborators

2 papers

math.DG2026

Submanifolds of class $C^{1, α}$ and sets with positive $μ$ -reach

Vincent Borrelli, Jean-Baptiste Follet, Boris Thibert

It is well-known since the seminal work of Herbert Federer [Trans. of the AMS, 1959] that submanifolds of class $C^{1, 1}$ have positive reach. In this paper, we extend this propert…

math.DG2023

The Hyperbolic Plane in $E^{3}$

Vincent Borrelli, Roland Denis, Francis Lazarus +2

We build an explicit $C^{1}$ isometric embedding $f_{\infty} : H^{2} \to E^{3}$ of the hyperbolic plane whose image is relatively compact. Its limit set is a closed curve o…

Submanifolds of class C1,α and sets with positive μ-reach

The Hyperbolic Plane in E3

Submanifolds of class $C^{1, α}$ and sets with positive $μ$ -reach

The Hyperbolic Plane in $E^{3}$