scientific article

zbMath0471.53031MaRDI QIDQ3924790

Murray Cantor, Dieter Brill

Publication date: 1981

Full work available at URL: http://www.numdam.org/item?id=CM_1981__43_3_317_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

weighted Sobolev spacesLaplacianconformally equivalentasymptotically flat metricvanishing scalar curvature

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items

The general relativistic constraint equations, On the connectedness of the space of initial data for the Einstein equations, Prescribing the Ricci curvature of Kähler asymptotically \({\mathbb{C}}^ n\) manifolds, \(n>2\), A note on mass-minimising extensions, Initial data sets, conformal geometry and the topology of physical space in general relativity, Gravitational fields near space-like and null infinity, The asymptotically flat scalar-flat Yamabe problem with boundary, The Yamabe flow on asymptotically flat manifolds, The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant, Problème de la courbure scalaire prescrite sur les variétés riemanniennes complètes. (The problem of prescribed scalar curvature for complete Riemannian manifolds), On the existence of asymptotically flat initial data sets for space-times containing manifolds with ends, Elliptic equations in weighted Besov spaces on asymptotically flat Riemannian manifolds, Black hole instabilities and exponential growth, Yamabe numbers and the Brill-Cantor criterion, Solutions of the Einstein constraint equations with apparent horizon boundaries, Decoupling the momentum constraints in general relativity, Partial decay on simple manifolds, Elliptic operators and the decomposition of tensor fields, Anisotropic Einstein data with isotropic non negative prescribed scalar curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scalar curvature and conformal deformation of Riemannian structure
• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• Perfect fluid flows over \(\mathbb{R}^n\) with asymptotic conditions
• Deformations of the scalar curvature
• The existence of non-trivial asymptotically flat initial data for vacuum spacetimes
• A necessary and sufficient condition for York data to specify an asymptotically flat spacetime
• On elliptic operators in
• Elliptic operators and the decomposition of tensor fields