D\'eg\'enerescence Locale des Transformations Conformes pseudo-Riemanniennes

TL;DR

This paper investigates the properties of conformal immersions between pseudo-Riemannian manifolds, characterizing their limits and exploring the geometric implications of these limits when they exist.

Contribution

It provides a detailed description of the closure of the set of conformal immersions and examines the geometric consequences of this closure in pseudo-Riemannian geometry.

Findings

Characterization of the closure of conformal immersions set

Identification of geometric consequences when the closure is nonempty

Insights into the structure of pseudo-Riemannian conformal maps

Abstract

We study the set of conformal immersions between two pseudo-Riemannian manifolds of same dimension. We characterize the closure of this set inside the space of continuous maps, and give some geometric consequences when this closure is nonempty.