Topology of asymptotically conical Calabi-Yau and \(G_2\) manifolds and desingularization of nearly Kähler and nearly \(G_2\) conifolds

DOI10.1007/s12220-022-01143-3OpenAlexW4318484601WikidataQ122919928 ScholiaQ122919928MaRDI QIDQ2687285

Lothar Schiemanowski

Publication date: 2 March 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.15922

zbMATH Keywords

Einstein manifoldsspecial holonomyasymptotically conical manifolds

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Desingularisation of Einstein metrics. II
• Asymptotically conical Calabi-Yau manifolds. I
• New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\)
• Ricci-flat Kähler metrics on crepant resolutions of Kähler cones
• Desingularization of \(G_{2}\) manifolds with isolated conical singularities
• Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces
• On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay
• Compact weak \(G_2\)-manifolds with conical singularities
• A heat flow for special metrics
• On the construction of some complete metrics with exceptional holonomy
• Desingularisation of Einstein metrics. I
• Infinitely many new families of complete cohomogeneity one \(G_2\)-manifolds: \(G_2\) analogues of the Taub-NUT and Eguchi-Hanson spaces
• Noncollapsed degeneration of Einstein 4-manifolds. I
• Noncollapsed degeneration of Einstein 4-manifolds. II
• The Calabi metric and desingularization of Einstein orbifolds
• Deformation theory of \(\mathrm{G}_2\) conifolds
• Real Killing spinors and holonomy
• DESINGULARIZATIONS OF CALABI–YAU 3-FOLDS WITH A CONICAL SINGULARITY
• DESINGULARIZATIONS OF CALABI-YAU 3-FOLDS WITH CONICAL SINGULARITIES. II. THE OBSTRUCTED CASE
• Fredholm, Hodge and Liouville Theorems on Noncompact Manifolds
• Deformations of nearly G2 structures
• Deformation theory of nearly Kähler manifolds
• Complete Riemannian Manifolds and Some Vector Fields
• The renormalized volume of a \(4\)-dimensional Ricci-flat ALE space

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