14 citations · 73 across the 19 of their papers we have counts for
24 papers
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…
Extreme 5-dimensional black holes with SU(2)-symmetric horizons
Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri +1
We show that the near horizon geometry of 5-dimensional extreme (i.e., degenerate) stationary vacuum black holes, with or without cosmological constant, whose event horizons exhibi…
Deformations of the Kerr-(A)dS Near Horizon Geometry
Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri +1
We investigate deformations of the Kerr-(A)dS near horizon geometry and derive partial infinitesimal rigidity results for it. The proof comprises two parts. First, we follow the an…
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…
Wellposedness of nonlinear flows on manifolds of bounded geometry
Eric Bahuaud, Christine Guenther, James Isenberg +1
We present simple conditions which ensure that a strongly elliptic operator generates an analytic semigroup on Hölder spaces on an arbitrary complete manifold of bounded geomet…