New cohomogeneity one metrics with spin(7) holonomy

DOI10.1016/S0393-0440(03)00108-6zbMath1092.53024arXivmath/0105119OpenAlexW3102422945MaRDI QIDQ557213

Mirjam Cvetič, Gary W. Gibbons, Christopher N. Pope, Hong Lü

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105119

zbMATH Keywords

Riemannian metricgradient flowholonomyEinstein equationasymptotically locally conical metricbundle of chiral spinorscalibrating \(4\)-form

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Issues of holonomy in differential geometry (53C29)

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Cites Work

• Einstein metrics on \(S^ 3\), \(R^ 3\) and \(R^ 4\) bundles
• A new construction of compact 8-manifolds with holonomy Spin(7).
• On the construction of some complete metrics with exceptional holonomy
• Ricci-flat metrics, harmonic forms and brane resolutions
• Hyper-Kähler Calabi metrics, \(L^2\) harmonic forms, resolved M2-branes, and AdS\(_4\)/CFT\(_3\) correspondence
• New complete noncompact Spin(7) manifolds