Positive Ricci Curvature on Highly Connected Manifolds

Diarmuid Crowley, David J. Wraith

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

For k ≥ 2, let M4k−1 be a closed (2k−2)-connected manifold. If k ≡ 1 mod 4 assume further that M is (2k−1)-parallelisable. Then there is a homotopy sphere Σ4k−1 such that M ]Σ admits a Ricci positive metric. This follows from a new description of these manifolds as the boundaries of explicit plumbings.
Original languageEnglish
Pages (from-to)187-243
Number of pages57
JournalJournal of Differential Geometry
Volume106
Issue number2
Early online date14 Jun 2017
DOIs
Publication statusPublished - Jun 2017

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Positive Curvature
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Positive Ricci Curvature on Highly Connected Manifolds. / Crowley, Diarmuid; Wraith, David J. .

In: Journal of Differential Geometry, Vol. 106, No. 2, 06.2017, p. 187-243.

Research output: Contribution to journalArticle

Crowley, Diarmuid ; Wraith, David J. . / Positive Ricci Curvature on Highly Connected Manifolds. In: Journal of Differential Geometry. 2017 ; Vol. 106, No. 2. pp. 187-243.
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