2005/03/10 by Grégoire Montcouquiol, Montcouquiol, Grégoire
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #MSC 53C24
paper · pdf · doi:10.48550/arxiv.math/0503195
openalex publication_date 2005/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Starting with a compact hyperbolic cone-manifold of dimension greater than or equal to 3, we study the deformations of the metric with the aim of getting Einstein cone-manifolds. If the singular locus is a closed codimension 2 submanifold and all cone angles are smaller than 2 pi, we show that there is no non-trivial infinitesimal Einstein deformations preserving the cone angles.