Einstein manifolds with zero Ricci curvature
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This article is published in Surveys in differential geometry.The article was published on 2001-01-01 and is currently open access. It has received 13 citations till now. The article focuses on the topics: Scalar curvature & Ricci-flat manifold.read more
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On the geometry of Sasakian-Einstein 5-manifolds
TL;DR: In this paper, the existence of 14 inequivalent Sasakian-Einstein structures on S2×S3 and infinite families of such structures on #l(S 2×S 3) with 2≤l≤7 was shown.
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Degeneration of Riemannian metrics under Ricci curvature bounds
TL;DR: The Fermi Lectures of the Scuola Normale Superiore, Pisa, Italy, in June 2001 as mentioned in this paper focused on the noncollapsing situation of Riemannian manifolds.
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On the Geometry of Sasakian-Einstein 5-Manifolds
TL;DR: In this paper, the existence of 14 inequivalent Sasakian-Einstein structures on simply connected 5-manifolds and infinite families of such structures on Ω(S^2\times S^3) with √ 2.
Journal ArticleDOI
Continuity of extremal transitions and flops for Calabi-Yau manifolds
Xiaochun Rong,Yuguang Zhang +1 more
TL;DR: In this article, the convergence of Ricci-flat Kahler metrics on Calabi-Yau manifolds along a smoothing is established, which can be of independent interest.
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Convergence of Calabi–Yau manifolds
TL;DR: In this paper, the convergence of Calabi-Yau manifolds under Kahler degeneration to orbifold singularities and complex degeneration of the conifolds to canonical singularities was studied.