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Short-time existence of the second order renormalization group flow in dimension three

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  • Given a compact three--manifold together with a Riemannian metric, we prove the short--time existence of a solution to the renormalization group flow, truncated at the second order term, under a suitable hypothesis on the sectional curvature of the initial metric.
    Mathematics Subject Classification: Primary: 53C44; Secondary: 35K45.


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