2010/03/22 by Delay, Erwann, Lorenzo Mazzieri, Mazzieri, Lorenzo
Mathematics · #35Q75 #53C21 #Advanced Mathematical Physics Problems #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions
paper · doi:10.48550/arxiv.1003.4178
openalex publication_date 2010/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We first show that the connected sum along submanifolds introduced by the second author for compact initial data sets of the vacuum Einstein system can be adapted to the asymptotically Euclidean and to the asymptotically hyperbolic context. Then, we prove that in any case, and generically, the gluing procedure can be localized, in order to obtain new solutions which coincide with the original ones outside of a neighborhood of the gluing locus.