A gap theorem for complete noncompact manifolds with nonnegative Ricci curvature
type: Item
instance of: scholarly article
title: A gap theorem for complete noncompact manifolds with nonnegative Ricci curvature
zbMATH Open document ID: 1011.53036
author: Bing-Long Chen
author: Xi-Ping Zhu
published in: Communications in Analysis and Geometry
publication date: 2003-05-20T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 1775023
zbMATH Keywords: Yamabe flow
zbMATH Keywords: nonnegative Ricci curvature
zbMATH Keywords: conformally flat manifold
reviewed by: Marian Hotloś
MaRDI profile type: Publication
Wikidata QID: Q124960462
DOI: 10.4310/CAG.2002.V10.N1.A9
description: scientific article; zbMATH DE number 1775023