Killing forms on quaternion-Kähler manifolds

DOI10.1007/s10455-005-1147-yzbMath1092.53037arXivmath/0403242OpenAlexW2952732460MaRDI QIDQ5920531

Uwe Semmelmann, Andrei Moroianu

Publication date: 2 May 2006

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403242

zbMATH Keywords

natural operatorsLePage decomposition

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (12)

Conformal Killing forms on 2-step nilpotent Riemannian Lie groups ⋮ Killing-Yano 2-forms on homogeneous spaces ⋮ Killing forms on 2-step nilmanifolds ⋮ Higher degree Killing forms on 2-step nilmanifolds ⋮ A prolongation of the conformal-Killing operator on quaternionic-Kähler manifolds ⋮ Twistor forms on Riemannian products ⋮ Killing forms on quaternion-Kähler manifolds ⋮ Killing-Yano 2-forms on 2-step nilpotent Lie groups ⋮ Generalized vector cross products and Killing forms on negatively curved manifolds ⋮ Conformally related Riemannian metrics with non-generic holonomy ⋮ Conformal Killing forms in Kähler geometry ⋮ Invariant solutions to the conformal Killing-Yano equation on Lie groups

Cites Work

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• Conformal Killing forms on Riemannian manifolds
• Vanishing theorems for quaternionic Kähler manifolds

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