14 citations · 73 across the 19 of their papers we have counts for
15 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…
Rigidity of quasi-Einstein metrics: The incompressible case
Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri +1
As part of a programme to classify quasi-Einstein metrics on closed manifolds and near-horizon geometries of extreme black holes, we study such spaces when the vector fie…
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…
Static near horizon geometries and rigidity of quasi-Einstein manifolds
Eric Bahuaud, Sharmila Gunasekaran, Hari K. Kunduri +1
Static vacuum near horizon geometries are solutions of a certain quasi-Einstein equation on a closed manifold , where is a Riemannian metric and is a closed 1-…
Geometrically finite Poincaré-Einstein metrics
Eric Bahuaud, Frédéric Rochon
We construct new examples of Einstein metrics by perturbing the conformal infinity of geometrically finite hyperbolic metrics and by applying the inverse function theorem in suitab…
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…