Constant scalar curvature metrics on connected sums

DOI10.1155/S016117120310806XzbMath1026.53019arXivmath/0108022WikidataQ56991035 ScholiaQ56991035MaRDI QIDQ1864284

Dominic David Joyce

Publication date: 17 March 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108022

zbMATH Keywords

spin manifoldconnected sumYamabe problemSobolev embedding theoremYamabe numberHilbert action

Mathematics Subject Classification ID

Critical metrics (58E11) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (17)

The general relativistic constraint equations ⋮ Stringy instability of topologically non-trivial AdS black holes and of de Sitter \(S\)-brane spacetimes ⋮ Generalized connected sum construction for scalar flat metrics ⋮ Concordance and isotopy of metrics with positive scalar curvature ⋮ Boundary connected sum of Escobar manifolds ⋮ Deformation of scalar curvature and volume ⋮ Constant \(\sigma_k\)-curvature metrics with Delaunay type ends ⋮ A gluing construction regarding point particles in general relativity ⋮ Connected sum construction for \(\sigma_k\)-Yamabe metrics ⋮ The spinorial τ-invariant and 0-dimensional surgery ⋮ On optimal 4-dimensional metrics ⋮ Surgery and equivariant Yamabe invariant ⋮ Maskit combinations of Poincaré-Einstein metrics ⋮ Monopole metrics and the orbifold Yamabe problem ⋮ Generalized Connected Sum Construction for Nonzero Constant Scalar Curvature Metrics ⋮ Initial data engineering ⋮ Connected sum construction of constant \(Q\)-curvature manifolds in higher dimensions

This page was built for publication: Constant scalar curvature metrics on connected sums