A complete metric of uniformly positive scalar curvature forces a suitably connected contractible open 5-manifold to be R^5, and positive isotropic curvature or pinched Ricci conditions with convex boundary force compact contractible manifolds to be disks.
Ricci flow on open 3-manifolds and positive scalar curvature
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.DG 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Positive curvature conditions on contractible manifolds
A complete metric of uniformly positive scalar curvature forces a suitably connected contractible open 5-manifold to be R^5, and positive isotropic curvature or pinched Ricci conditions with convex boundary force compact contractible manifolds to be disks.