An obstruction to the existence of Einstein metrics on 4-manifolds

DOI10.1007/s002080050199zbMath0920.53026OpenAlexW2009232701WikidataQ126076712 ScholiaQ126076712MaRDI QIDQ1264325

Andrea Sambusetti

Publication date: 12 September 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050199

zbMATH Keywords

Euler characteristicEinstein metriclocally symmetric manifoldcompact 4-manifoldtopological obstruction to the existence of Einstein metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of symmetric spaces (53C35) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (6)

Collapsing and group growth as obstructions to Einstein metrics on some smooth 4-manifolds ⋮ Hitchin-Thorpe inequality for noncompact Einstein 4-manifolds ⋮ On a Hitchin-Thorpe inequality for manifolds with foliated boundaries ⋮ Finite-volume complex surfaces without cuspidal Einstein metrics ⋮ NORMALIZED RICCI FLOW, SURGERY, AND SEIBERG–WITTEN INVARIANTS ⋮ Functorial seminorms on singular homology and (in)flexible manifolds

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