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Flows of Conformally Coclosed G 2 -Structures with Dilaton
Spiro Karigiannis1, Sébastien Picard2, Caleb Suan3
1Department of Pure Mathematics, University of Waterloo, Waterloo, ON Canada.
Abstract:
We study flows of -structures guided by the principle of dimensional reduction: natural geometric flows in -geometry reduce to natural flows in complex geometry. Our main examples are the -Laplacian coflow, which lifts the Kähler-Ricci flow, and a 7-dimensional lift of the anomaly flow on complex threefolds. The -lift of the anomaly flow deforms conformally coclosed -structures. We compare the -anomaly flow to the -Laplacian coflow, and investigate short-time existence and fixed points.
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