A Bochner theorem and applications
type: Item
instance of: scholarly article
title: A Bochner theorem and applications
zbMATH Open document ID: 0962.53026
DOI: 10.1215/S0012-7094-98-09116-5
published in: Duke Mathematical Journal
publication date: 2000-03-27T00:00:00Z
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C10
zbMATH DE Number: 1425075
zbMATH Keywords: pure \(F\)-structure
zbMATH Keywords: global torus action
zbMATH Keywords: Bochner theorem
zbMATH Keywords: collapsed Riemannian manifolds
author: Xiaochun Rong
MaRDI profile type: Publication
cites work: \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below
cites work: Real analyticity of solutions of Hamilton's equation
cites work: Smoothing Riemannian metrics
cites work: Q5658847
cites work: Finiteness Theorems for Riemannian Manifolds
cites work: Q4067705
cites work: Nilpotent Structures and Invariant Metrics on Collapsed Manifolds
cites work: Collapsing Riemannian manifolds while keeping their curvature bounded. I
cites work: Collapsing Riemannian manifolds while keeping their curvature bounded. II
cites work: Q3721357
cites work: Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry
cites work: Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter
cites work: Negative Ricci curvature and isometry group
cites work: Smoothing Riemannian metrics with Ricci curvature bounds
cites work: Collapsing Riemannian manifolds to ones of lower dimensions
cites work: A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters
cites work: Collapsing Riemannian manifolds to ones with lower dimension. II
cites work: Q3976707
cites work: The existence of negatively Ricci curved metrics on three manifolds
cites work: Almost flat manifolds
cites work: Manifolds of negative curvature
cites work: Volume and bounded cohomology
cites work: Q4011136
cites work: Geometric finiteness theorems via controlled topology
cites work: Erratum: Geometric finiteness theorems via controlled topology
cites work: Three-manifolds with positive Ricci curvature
cites work: Q5658761
cites work: Metrics of negative Ricci curvature
cites work: Almost Einstein manifolds of negative Ricci curvature
cites work: L\({}^ 2\)-curvature pinching
cites work: A.D. Alexandrov spaces with curvature bounded below
cites work: Controlled geometry via smoothing
cites work: Bounding homotopy and homology groups by curvature and diameter
cites work: On the fundamental groups of manifolds of positive sectional curvature
cites work: Deforming metrics with curvature and injectivity radius bounded from below
cites work: Deforming the metric on complete Riemannian manifolds
full work available at URL: s0012-7094-98-09116-5
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description: scientific article; zbMATH DE number 1425075