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Annales Henri Poincaré

, Volume 16, Issue 5, pp 1231–1266 | Cite as

Initial Data Sets with Ends of Cylindrical Type: I. The Lichnerowicz Equation

  • Piotr T. ChruścielEmail author
  • Rafe Mazzeo
Article

Abstract

We construct large classes of vacuum general relativistic initial data sets, possibly with a cosmological constant \({\Lambda \in \mathbb{R}}\), containing ends of cylindrical type.

Keywords

Manifold Scalar Curvature Compact Manifold Constant Scalar Curvature Complete Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.IHESBures-sur-YvetteFrance
  2. 2.Gravitational PhysicsUniversity of ViennaViennaAustria
  3. 3.Erwin Schrödinger InstituteViennaAustria
  4. 4.Department of MathematicsStanford UniversityStanfordUSA

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