Inserted: 7 jun 2013
Last Updated: 12 jun 2015
Journal: Discrete Contin. Dyn. Syst. - Series A
Pages: 5787 - 5798
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.