Killing forms on \(G_2\)- and spin\(_7\)-manifolds

DOI10.1016/j.geomphys.2005.10.003zbMath1105.53040arXivmath/0410065OpenAlexW1575514498MaRDI QIDQ2496768

Uwe Semmelmann

Publication date: 20 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0410065

zbMATH Keywords

Killing formsspecial holonomy manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Issues of holonomy in differential geometry (53C29) (G)-structures (53C10)

Related Items (14)

Conformal Killing forms on 2-step nilpotent Riemannian Lie groups ⋮ Twisted Dirac operators and generalized gradients ⋮ Killing forms on 2-step nilmanifolds ⋮ Conformal Killing forms on nearly Kähler manifolds ⋮ Higher degree Killing forms on 2-step nilmanifolds ⋮ The conformal Killing equation on forms-prolongations and applications ⋮ The Weitzenböck machine ⋮ Twistor forms on Riemannian products ⋮ 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 ⋮ QUATERNIONIC CONNECTIONS, INDUCED HOLOMORPHIC STRUCTURES AND A VANISHING THEOREM ⋮ Hidden symmetries and supergravity solutions

Cites Work

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• Conformal Killing forms on Riemannian manifolds
• Refined Kato inequalities and conformal weights in Riemannian geometry
• Real Killing spinors and holonomy
• Killing forms on symmetric spaces
• On quadratic first integrals of the geodesic equations for type [22 spacetimes]
• Some remarks on tensor fields and curvature
• Vanishing theorems for quaternionic Kähler manifolds
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Dirac symmetry operators from conformal Killing - Yano tensors
• Debye potentials for Maxwell and Dirac fields from a generalization of the Killing–Yano equation

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