Extrema de valeurs propres dans une classe conforme

TL;DR

This paper surveys the extremal properties of eigenvalues of geometric operators within conformal classes of compact Riemannian manifolds, highlighting key results and open problems in the field.

Contribution

It provides a comprehensive overview of known extremal eigenvalue problems in conformal geometry, summarizing recent advances and identifying future research directions.

Findings

Summarizes key extremal eigenvalue results in conformal classes

Identifies open problems in the field

Highlights recent progress in geometric analysis

Abstract

Survey about extremum of eigenvalues of geometric operators within a conformal class of a compact riemannian manifold.