ON NONCOLLAPSED ALMOST RICCI-FLAT 4-MANIFOLDS

ON NONCOLLAPSED ALMOST RICCI-FLAT 4-MANIFOLDS

We give topological conditions to ensure that a noncollapsed almost Ricci-flat 4-manifold admits a Ricci-flat metric. One sufficient condition is that the manifold is spin and has a nonzero Â-genus. Another condition is that the fundamental group is infinite or, more generally, of sufficiently large...

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Veröffentlicht in:American journal of mathematics 2019-06, Vol.141 (3), p.737-755
Hauptverfasser: Kapovitch, Vitali, Lott, John
Format: Artikel
Sprache:eng
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Zusammenfassung:We give topological conditions to ensure that a noncollapsed almost Ricci-flat 4-manifold admits a Ricci-flat metric. One sufficient condition is that the manifold is spin and has a nonzero Â-genus. Another condition is that the fundamental group is infinite or, more generally, of sufficiently large cardinality.
ISSN:0002-9327
1080-6377
1080-6377
DOI:10.1353/ajm.2019.0015