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arXiv · 1212.3317

Geometric formality and non-negative scalar curvature

D. Kotschick
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Abstract

We classify manifolds of small dimension that admit both, a Riemannian metric of non-negative scalar curvature, and a -- a priori different -- metric for which all wedge products of harmonic forms are harmonic. For manifolds whose first Betti numbers are sufficiently large, this classification extends to higher dimensions.

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D. Kotschick. 2012-12-13. Geometric formality and non-negative scalar curvature. https://doi.org/10.4310/pamq.2017.v13.n3.a3

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