Flows of G_2-structures, I

@article{Karigiannis2009FlowsOG,
  title={Flows of G_2-structures, I},
  author={Spiro Karigiannis},
  journal={Quarterly Journal of Mathematics},
  year={2009},
  volume={60},
  pages={487-522}
}
This is a foundational paper on flows of G_2 Structures. We use local coordinates to describe the four torsion forms of a G_2 Structure and derive the evolution equations for a general flow of a G_2 Structure on a 7-manifold. Specifically, we compute the evolution of the metric, the dual 4-form, and the four independent torsion forms. In the process we obtain a simple new proof of a theorem of Fernandez-Gray. As an application of our evolution equations, we derive an analogue of the second… Expand
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