Geometric formality and non-negative scalar curvature

DOI10.4310/PAMQ.2017.v13.n3.a3zbMath1404.53060arXiv1212.3317WikidataQ128960804 ScholiaQ128960804MaRDI QIDQ1623084

Dieter Kotschick

Publication date: 23 November 2018

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3317

zbMATH Keywords

rational homotopy theoryBetti numbersgeometric formalityflat manifoldnon-negative scalar curvatureformal metricproduct of harmonic formssmall-dimension manifold

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Applications of global analysis to structures on manifolds (57R57) Differential geometric aspects of harmonic maps (53C43) Hodge theory in global analysis (58A14) General geometric structures on low-dimensional manifolds (57M50)

Related Items (5)

Positive curvature, symmetry, and topology ⋮ Rigidity of four-dimensional compact manifolds with harmonic Weyl tensor ⋮ Bounds on sectional curvature and interactions with topology ⋮ Conformally formal manifolds and the uniformly quasiregular non-ellipticity of \((\mathbb{S}^2 \times\mathbb{S}^2)\#(\mathbb{S}^2\times\mathbb{S}^2)\) ⋮ Four-manifolds with harmonic 2-forms of constant length

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