Conformally related Riemannian metrics with non-generic holonomy

DOI10.1515/crelle-2017-0031zbMath1429.53071arXiv1701.05442OpenAlexW2582971523WikidataQ115236876 ScholiaQ115236876MaRDI QIDQ2331065

Andrei Moroianu

Publication date: 24 October 2019

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05442

zbMATH Keywords

reducible holonomyCalabi Ansatzambi-Kähler manifold

Mathematics Subject Classification ID

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

Related Items (2)

Killing forms on 2-step nilmanifolds ⋮ Conformal Killing forms in Kähler geometry

Cites Work

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• Conformally Einstein product spaces
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• Twistor forms on Riemannian products
• Conformal Killing forms on Riemannian manifolds
• Conformally related Kähler metrics and the holonomy of lcK manifolds
• Weyl-Einstein structures on K-contact manifolds
• Killing forms on symmetric spaces
• Killing forms on \(G_2\)- and spin\(_7\)-manifolds
• The conjectures on conformal transformations of Riemannian manifolds
• Dirac symmetry operators from conformal Killing - Yano tensors
• Killing forms on quaternion-Kähler manifolds

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