18 citations · 19 across the 9 of their papers we have counts for
8 papers · 1 filter
Linear and nonlinear stability for the Bach flow, I
Eric Bahuaud, Christine Guenther, James Isenberg +1
In this paper we prove the linear stability of a gauge-modified version of the Bach flow on any complete manifold (M, h) of constant curvature. This involves some intricate calcula…
Convergence stability for Ricci flow on manifolds with bounded geometry
Eric Bahuaud, Christine Guenther, James Isenberg +1
We prove that the Ricci flow for complete metrics with bounded geometry depends continuously on initial conditions for finite time with no loss of regularity. This relies on our re…
Scaling and Entropy for the RG-2 Flow
Mauro Carfora, Christine Guenther
Let be a closed Riemannian manifold. The to the perturbative renormalization group flow for the nonlinear sigma model (RG-2…
Convergence Stability for Ricci Flow
Eric Bahuaud, Christine Guenther, James Isenberg
The principle of convergence stability for geometric flows is the combination of the continuous dependence of the flow on initial conditions, with the stability of fixed points. It…
Short-time existence for the second order renormalization group flow in general dimensions
Karsten Gimre, Christine Guenther, James Isenberg
We prove local existence for the second order Renormalization Group flow initial value problem on closed Riemannian manifolds in general dimensions, for initial metrics who…
A geometric introduction to the 2-loop renormalization group flow
Karsten Gimre, Christine Guenther, James Isenberg
The Ricci flow has been of fundamental importance in mathematics, most famously though its use as a tool for proving the Poincaré Conjecture and Thurston's Geometrization Conjectur…