Positive scalar curvature and periodic fundamental groups
Reinhard Schultz1990, Commentarii Mathematici Helvetici
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Abstract
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This paper investigates the conditions under which a smooth manifold can admit a Riemannian metric with positive scalar curvature, particularly focusing on the role of fundamental groups in this context. The authors derive results that simplify the proof for groups of type 2, establishing connections to the invariance properties of normal invariants and the propagation question regarding homotopy equivalent manifolds. The research demonstrates that under specific criteria, closed manifolds that are homotopy equivalent to those possessing a positive scalar curvature metric will also admit such metrics.
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