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| Content Provider | Springer Nature Link |
|---|---|
| Author | Delay, Erwann Mazzieri, Lorenzo |
| Copyright Year | 2014 |
| Abstract | 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 every 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. |
| Ending Page | 415 |
| Page Count | 23 |
| Starting Page | 393 |
| File Format | |
| ISSN | 00465755 |
| e-ISSN | 15729168 |
| Journal | Geometriae Dedicata |
| Issue Number | 1 |
| Volume Number | 173 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2014-01-29 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Geometry Relations with special manifold structures (Riemannian, Finsler, etc.) Connected sum Einstein's equations (general structure, canonical formalism, Cauchy problems) Einstein constraint equations Methods of Riemannian geometry, including PDE methods; curvature restrictions Conformal method |
| Content Type | Text |
| Resource Type | Article |
| Subject | Geometry and Topology |
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