Manifold structures for sets of solutions of the general relativistic constraint equations

2003/09/30 by Piotr T. Chruściel, Piotr T. Chrusciel, Erwann Delay
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Numerical Analysis Techniques #Algebra over a field #Computer science #Constraint (computer-aided design) #Construct (python library) #Geometric Analysis and Curvature Flows #Geometry #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #gr-qc

paper · pdf · doi:10.1016/j.geomphys.2003.12.002

latex2e, 32 A4 pages, minor corrections

arxiv created 2004/01/02 · openalex publication_date 2004/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct manifold structures on various sets of solutions of the general relativistic initial data sets.

Citations

• Nonlinear Analysis on Manifolds. Monge-Ampère Equations
• Multiple Integrals in the Calculus of Variations
• The mass of an asymptotically flat manifold
• Einstein metrics with prescribed conformal infinity on the ball
• Fredholm operators and Einstein metrics on conformally compact manifolds