Positive scalar curvature on foliations: the enlargeability

2017/03/13 by Weiping Zhang, Zhang, Weiping
Mathematics · #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1703.04313

openalex publication_date 2017/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize the famous result of Gromov and Lawson on the nonexistence of metric of positive scalar curvature on enlargeable manifolds to the case of foliations, without using index theorems on noncompact manifolds.

Related

• Enlargeability, foliations, and positive scalar curvature
• On Gromov's compactness question regarding positive scalar curvature
• Some obstructions to positive scalar curvature on a noncompact manifold
• Geometric non-commutative geometry
• Positive Scalar Curvature on Noncompact Manifolds and the Liouville Theorem