A survey of Einstein metrics on 4-manifolds
arXiv:0810.4830
Abstract
We survey some aspects of the current state of research on Einstein metrics on compact 4-manifolds. A number of open problems are presented and discussed.
30pp, to appear in Handbook of Geometric Analysis. Final version has only minor changes from v1
References in corpus (9)
- Ricci flow with surgery on three-manifolds
- Summing up D-Instantons
- Some numerical results in complex differential geometry
- On stationary vacuum solutions to the Einstein equations
- The Morse-Witten complex via dynamical systems
- Einstein metrics and smooth structures
- Entropies, volumes, and Einstein metrics
- Monopole classes and Einstein metrics
- Metrics of Special Curvature with Symmetry
Cited by in corpus (11)
- Two-dimensional SCFTs from wrapped branes and c-extremization
- Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
- Spacetime foam: a review
- Kahler-Einstein metrics emerging from free fermions and statistical mechanics
- On the Axioms of Causal Set Theory
- Noncollapsed degeneration of Einstein 4-manifolds II
- Almost Paracomplex Structures on 4-Manifolds
- Ricci flow with bounded curvature integrals
- A topological origin for Dark Energy
- A compactness theorem for four-dimensional shrinking gradient Ricci solitons
- Pair-of-pants decompositions of 4-manifolds diffeomorphic to general type hypersurfaces