Geometric formality and non-negative scalar curvature
Differential Geometry
2019-10-09 v4 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1212.3317,
title = {Geometric formality and non-negative scalar curvature},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:1212.3317},
year = {2019}
}
Comments
11 pages; improved results in v2; cosmetic changes in v3, v4