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arxiv: 1508.03315 · v2 · submitted 2015-08-13 · 🧮 math.DG · math.CV

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Geometric flows and Strominger systems

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classification 🧮 math.DG math.CV
keywords geometricstromingersystemsanomalybalancedconditionequationestablished
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A geometric flow on $(2,2)$-forms is introduced which preserves the balanced condition of metrics, and whose stationary points satisfy the anomaly equation in Strominger systems. The existence of solutions for a short time is established, using Hamilton's version of the Nash-Moser implicit function theorem.

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