A closed nonspin manifold of dimension at least 5 with odd order abelian fundamental group that is p-atoral for all primes p dividing its group order admits a positive scalar curvature metric.
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Positive scalar curvature on manifolds with odd order abelian fundamental groups
A closed nonspin manifold of dimension at least 5 with odd order abelian fundamental group that is p-atoral for all primes p dividing its group order admits a positive scalar curvature metric.