The nonuniqueness of the tangent cones at infinity of Ricci-flat manifolds

DOI10.2140/gt.2017.21.2683zbMath1372.53043arXiv1503.07278OpenAlexW817955108MaRDI QIDQ2402855

Kota Hattori

Publication date: 15 September 2017

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07278

zbMATH Keywords

hyper-KählerRicci-flat manifoldtangent cone at infinity

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (3)

Collapsed Ricci limit spaces as non-collapsed RCD spaces ⋮ Canonical identification at infinity for Ricci-flat manifolds ⋮ Weighted Sobolev inequalities in CD(0,N) spaces

Cites Work

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• Characterization of tangent cones of noncollapsed limits with lower Ricci bounds and applications
• The volume growth of hyper-Kähler manifolds of type \(A_{\infty }\)
• Complete Ricci-flat Kähler manifolds of infinite topological type
• On hyper-Kähler manifolds of type \(A_ \infty\)
• On the structure of spaces with Ricci curvature bounded below. I
• A metric characterization of Riemannian submersions
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• On uniqueness of tangent cones for Einstein manifolds

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