Connected sums with \(\mathbb{H} P^n\) or \(CaP^{2}\) and the Yamabe invariant

DOI10.1016/j.difgeo.2018.04.004zbMath1421.53042arXiv0710.2379OpenAlexW2964350010WikidataQ115355140 ScholiaQ115355140MaRDI QIDQ1636014

Chanyoung Sung

Publication date: 1 June 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2379

zbMATH Keywords

Cayley planeYamabe invariantquaternionic projective spacegeneralized connected sum

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Surgery and handlebodies (57R65)

Cites Work

• Unnamed Item
• Computations of the orbifold Yamabe invariant
• Collapsing and monopole classes of 3-manifolds
• Scalar curvature of a metric with unit volume
• On the structure of manifolds with positive scalar curvature
• The classification of simply connected manifolds of positive scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Kodaira dimension and the Yamabe problem
• Four-manifolds without Einstein metrics
• Smooth Yamabe invariant and surgery
• Surgery and the Yamabe invariant
• RICCI CURVATURE AND MONOPOLE CLASSES ON 3-MANIFOLDS
• The Yamabe problem
• Construction of Manifolds of Positive Scalar Curvature
• The Yamabe invariant of simply connected manifolds
• On Simply-Connected 4-Manifolds
• ON UNIQUENESS AND DIFFERENTIABILITY IN THE SPACE OF YAMABE METRICS

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