A Rigidity Theorem for Quaternionic-Kahler Manifolds

DOI10.2307/2047113zbMath0655.53056OpenAlexW4238992946MaRDI QIDQ3802206

Claude LeBrun

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047113

zbMATH Keywords

positive scalar curvaturetwistor methodsrigidity theoremholomorphic line bundlecomplex contact structurequaternionic-Kähler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

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Strong rigidity of positive quaternion-Kähler manifolds, Remarks on a triple of \(K\)-contact structures, A rigidity theorem for quaternionic Kähler manifolds, Pestov's identity on frame bundles and applications, On complete quaternionic-Kähler manifolds, Linear perturbations of quaternionic metrics