Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
Idioma
en
Article de revue
Este ítem está publicado en
Journal of the European Mathematical Society. 2020-10-09, vol. 23, n° 1, p. 153 - 184
European Mathematical Society
Resumen en inglés
We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This generalises the main result of the fourth author ...Leer más >
We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This generalises the main result of the fourth author [Mar12] in the compact case. The proof uses Ricci flow with surgery as well as arguments involving performing infinite connected sums with control on the geometry.< Leer menos
Palabras clave en inglés
Scalar curvature
Ricci flow
open manifolds
3-manifolds
Orígen
Importado de HalCentros de investigación