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arXiv · 1006.5386

The conformal-Killing equation on G2 and Spin7 structures

Liana David
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Abstract

Let M be a 7-manifold with a G2-structure defined by ϕ\inΩ^{3}_{+}(M). We prove that ϕ is conformal-Killing with respect to the associated metric g(ϕ) if and only if the G2-structure is nearly parallel. Let M be an 8-manifold with a Spin7-structure defined by ψ\inΩ^{4}_{+}(M). We prove that ψ is conformal-Killing with respect to the associated metric g(ψ) if and only if the Spin7-structure is parallel.

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Liana David. 2010-06-28. The conformal-Killing equation on G2 and Spin7 structures. https://doi.org/10.1016/j.geomphys.2011.02.002

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