The conformal-Killing equation on \(G_{2}\)- and \(\mathrm{Spin}_7\)-structures

DOI10.1016/j.geomphys.2011.02.002zbMath1230.53044arXiv1006.5386OpenAlexW2020651050MaRDI QIDQ533428

Liana David

Publication date: 3 May 2011

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

Full work available at URL: https://arxiv.org/abs/1006.5386

zbMATH Keywords

\(G_2\)-structurefundamental form\(\mathrm{Spin}_7\)-structureconformal-Killing forms

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Twistor methods in differential geometry (53C28) Issues of holonomy in differential geometry (53C29) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Conformal Killing \(L^2\)-forms on complete Riemannian manifolds with nonpositive curvature operator ⋮ Hidden symmetries and supergravity solutions ⋮ Invariant solutions to the conformal Killing-Yano equation on Lie groups

Cites Work

• Riemannian manifolds with structure group \(G_ 2\)
• The fundamental form of almost-quaternionic Hermitian manifolds
• A classification of Riemannian manifolds with structure group Spin (7)
• Metrics with exceptional holonomy
• On nearly parallel \(G_2\)-structures
• Conformal Killing forms on Riemannian manifolds
• On the construction of some complete metrics with exceptional holonomy
• Hamiltonian 2-forms in Kähler geometry. I: General theory
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The conformal-Killing equation on \(G_{2}\)- and \(\mathrm{Spin}_7\)-structures