Geometric measure theory and manifolds of nonnegative Ricci curvature
type: Item
instance of: scholarly article
title: Geometric measure theory and manifolds of nonnegative Ricci curvature
zbMATH Open document ID: 0873.53051
author: Yoe Itokawa
author: Ryoichi Kobayashi
published in: Proceedings of the Japan Academy. Series A
publication date: 1996-12-01T00:00:00Z
review text: Let \(M\) be a complete noncompact Riemannian manifold of dimension \(n\). Considering the following problem: ``Suppose that the Ricci curvature of \(M\) is everywhere positive; then, is it true that \(H_{n-1}(M;\mathbb{Z})=\{0\}\)?'', the authors announce some theorems which regard it.
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 952362
reviewed by: Marius Stoka
MaRDI profile type: Publication
full work available at URL: pjaa.72.126
OpenAlex ID: W2000147956
cites work: On Complete Manifolds With Nonnegative Ricci Curvature
cites work: Q4852335
cites work: Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
cites work: Geometric measure theory.
cites work: On minimal hypersurfaces of nonnegatively Ricci curved manifolds
cites work: Minimizing currents in open manifolds and the n - 1 homology of nonnegatively Ricci curved manifolds
cites work: Ricci curvature, geodesics and some geometric properties of Riemannian manifolds with boundary
cites work: Sur les hypersurfaces minimales des variétés riemanniennes à courbure de Ricci positive ou nulle
cites work: Manifolds of Positive Ricci Curvature with Almost Maximal Volume
cites work: On Complete Manifolds of Nonnegative kth-Ricci Curvature
cites work: Q3138489
cites work: Q4102442
DOI: 10.3792/PJAA.72.126
description: scientific article; zbMATH DE number 952362