Smooth structures and Einstein metrics on

DOI10.1017/S0305004109002527zbMath1185.53049arXiv0806.1424OpenAlexW3099339087MaRDI QIDQ3183164

Ioana Şuvaina, Rareş Răsdeaconu

Publication date: 19 October 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.1424

zbMATH Keywords

Einstein constantconnected sum of \(\mathbb CP^2\)Einstein metrics on compact manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on low-dimensional manifolds (57M50)

Related Items (2)

Several special complex structures and their deformation properties ⋮ The Yamabe invariant of a class of symplectic 4-manifolds

Cites Work

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• On Calabi's conjecture for complex surfaces with positive first Chern class
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group
• On the scalar curvature of Einstein manifolds
• Simply connected symplectic 4-manifolds with \(b_2^+ = 1\) and \(c_1^2 = 2\)
• Four-manifolds without Einstein metrics
• A simply connected surface of general type with \(p_g=0\) and \(K^2=2\)
• Constructing infinitely many smooth structures on small 4-manifolds
• On Simply-Connected 4-Manifolds
• Ricci curvature, minimal volumes, and Seiberg-Witten theory

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