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arXiv · 1401.1454

Short-time existence for the second order renormalization group flow in general dimensions

Karsten Gimre·Christine Guenther·James Isenberg
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Abstract

We prove local existence for the second order Renormalization Group flow initial value problem on closed Riemannian manifolds $(M,g)$ in general dimensions, for initial metrics whose sectional curvatures $K_P$ satisfy the condition $1+αK_P > 0$, at all points $p \in M$ and planes $P \subset T_p M$. This extends results previously proven for two and three dimensions.

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Karsten Gimre, Christine Guenther, James Isenberg. 2014-01-07. Short-time existence for the second order renormalization group flow in general dimensions. https://arxiv.org/abs/1401.1454

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