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arXiv · 1810.13417

Geometric Flows of G_2 Structures

Jason D. Lotay
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Abstract

Geometric flows have proved to be a powerful geometric analysis tool, perhaps most notably in the study of 3-manifold topology, the differentiable sphere theorem, Hermitian-Yang-Mills connections and canonical Kaehler metrics. In the context of G_2 geometry, there are several geometric flows which arise. Each flow provides a potential means to study the geometry and topology associated with a given class of G_2 structures. We will introduce these flows, and describe some of the key known results and open problems in the field.

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Jason D. Lotay. 2018-10-31. Geometric Flows of G_2 Structures. https://arxiv.org/abs/1810.13417

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