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Flows of conformally coclosed \\(G_2\\)-structures with dilaton
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Flows of conformally coclosed \\(G_2\\)-structures with dilaton
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Paper
Flows of conformally coclosed \\(G_2\\)-structures with dilaton
2025
Overview
We study flows of \\(G_2\\)-structures guided by the principle of dimensional reduction: natural geometric flows in \\(G_2\\)-geometry reduce to natural flows in complex geometry. Our main examples are the \\(G_2\\)-Laplacian coflow, which lifts the K\"ahler--Ricci flow, and a 7-dimensional lift of the anomaly flow on complex threefolds. The \\(G_2\\)-lift of the anomaly flow deforms conformally coclosed \\(G_2\\)-structures. We compare the \\(G_2\\)-anomaly flow to the \\(G_2\\)-Laplacian coflow, and investigate short-time existence and fixed points.
Publisher
Cornell University Library, arXiv.org
Subject
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