A gap theorem for complete noncompact manifolds with nonnegative Ricci curvature (Q1607503)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A gap theorem for complete noncompact manifolds with nonnegative Ricci curvature |
scientific article; zbMATH DE number 1775023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A gap theorem for complete noncompact manifolds with nonnegative Ricci curvature |
scientific article; zbMATH DE number 1775023 |
Statements
A gap theorem for complete noncompact manifolds with nonnegative Ricci curvature (English)
0 references
20 May 2003
0 references
The paper concerns the gap phenomena on non-maximal volume growth manifolds. Using the Yamabe flow the authors prove that if the Ricci curvature of a complete non-compact locally conformally flat manifold is nonnegative, the scalar curvature is bounded and decays faster than quadratic at infinity, then the manifold is flat.
0 references
Yamabe flow
0 references
nonnegative Ricci curvature
0 references
conformally flat manifold
0 references
